1016125776 has 160 divisors (see below), whose sum is σ = 3142656000. Its totient is φ = 313310592.

The previous prime is 1016125769. The next prime is 1016125777. The reversal of 1016125776 is 6775216101.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1016125776.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1016125777) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 351505 + ... + 354383.

It is an arithmetic number, because the mean of its divisors is an integer number (19641600).

Almost surely, 2^1016125776 is an apocalyptic number.

1016125776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1016125776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1571328000).

1016125776 is an abundant number, since it is smaller than the sum of its proper divisors (2126530224).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1016125776 is a wasteful number, since it uses less digits than its factorization.

1016125776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2958 (or 2946 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The square root of 1016125776 is about 31876.7278119948. The cubic root of 1016125776 is about 1005.3466213599.

Subtracting from 1016125776 its sum of digits (36), we obtain a triangular number (1016125740 = T₄₅₀₈₀).

It can be divided in two parts, 10161 and 25776, that added together give a cube (35937 = 33³).

The spelling of 1016125776 in words is "one billion, sixteen million, one hundred twenty-five thousand, seven hundred seventy-six".