874826160 has 320 divisors, whose sum is σ = 3107801088. Its totient is φ = 201940992.

The previous prime is 874826159. The next prime is 874826167. The reversal of 874826160 is 61628478.

It is not an unprimeable number, because it can be changed into a prime (874826167) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5238397 + ... + 5238563.

Almost surely, 2^874826160 is an apocalyptic number.

874826160 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 874826160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1553900544).

874826160 is an abundant number, since it is smaller than the sum of its proper divisors (2232974928).

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

874826160 is a wasteful number, since it uses less digits than its factorization.

874826160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 874826160 is about 29577.4603372230. The cubic root of 874826160 is about 956.4022454849.

The spelling of 874826160 in words is "eight hundred seventy-four million, eight hundred twenty-six thousand, one hundred sixty".