1016925408 has 96 divisors (see below), whose sum is σ = 2977228800. Its totient is φ = 337696128.

The previous prime is 1016925401. The next prime is 1016925409. The reversal of 1016925408 is 8045296101.

1016925408 is a `hidden beast` number, since 10 + 16 + 92 + 540 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1016925401) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 242433 + ... + 246591.

It is an arithmetic number, because the mean of its divisors is an integer number (31012800).

Almost surely, 2^1016925408 is an apocalyptic number.

1016925408 is a gapful number since it is divisible by the number (18) 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 1016925408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1488614400).

1016925408 is an abundant number, since it is smaller than the sum of its proper divisors (1960303392).

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

1016925408 is a wasteful number, since it uses less digits than its factorization.

1016925408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4461 (or 4447 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 1016925408 is about 31889.2679125752. The cubic root of 1016925408 is about 1005.6102686906.

The spelling of 1016925408 in words is "one billion, sixteen million, nine hundred twenty-five thousand, four hundred eight".