1016874000 has 200 divisors, whose sum is σ = 3673609368. Its totient is φ = 271123200.

The previous prime is 1016873981. The next prime is 1016874029. The reversal of 1016874000 is 4786101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 10969344 + 1005904656 = 3312^2 + 31716^2 .

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 158862 + ... + 165138.

Almost surely, 2^1016874000 is an apocalyptic number.

1016874000 is a gapful number since it is divisible by the number (10) 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 1016874000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1836804684).

1016874000 is an abundant number, since it is smaller than the sum of its proper divisors (2656735368).

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

1016874000 is an equidigital number, since it uses as much as digits as its factorization.

1016874000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6312 (or 6287 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 1016874000 is about 31888.4618631881. The cubic root of 1016874000 is about 1005.5933230741.

The spelling of 1016874000 in words is "one billion, sixteen million, eight hundred seventy-four thousand".