874964160 has 896 divisors, whose sum is σ = 4002877440. Its totient is φ = 175177728.

The previous prime is 874964147. The next prime is 874964201. The reversal of 874964160 is 61469478.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 23647662 + ... + 23647698.

Almost surely, 2^874964160 is an apocalyptic number.

874964160 is a gapful number since it is divisible by the number (80) 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 874964160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2001438720).

874964160 is an abundant number, since it is smaller than the sum of its proper divisors (3127913280).

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

874964160 is a wasteful number, since it uses less digits than its factorization.

874964160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 874964160 is about 29579.7931027247. The cubic root of 874964160 is about 956.4525322644.

The spelling of 874964160 in words is "eight hundred seventy-four million, nine hundred sixty-four thousand, one hundred sixty".