874610688 has 256 divisors, whose sum is σ = 2818529280. Its totient is φ = 235929600.

The previous prime is 874610687. The next prime is 874610689. The reversal of 874610688 is 886016478.

It is an interprime number because it is at equal distance from previous prime (874610687) and next prime (874610689).

It is a tau number, because it is divible by the number of its divisors (256).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (874610687) 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, 21331948 + ... + 21331988.

It is an arithmetic number, because the mean of its divisors is an integer number (11009880).

Almost surely, 2^874610688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 874610688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1409264640).

874610688 is an abundant number, since it is smaller than the sum of its proper divisors (1943918592).

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

874610688 is an equidigital number, since it uses as much as digits as its factorization.

874610688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 48.

The square root of 874610688 is about 29573.8176095005. The cubic root of 874610688 is about 956.3237175687.

The spelling of 874610688 in words is "eight hundred seventy-four million, six hundred ten thousand, six hundred eighty-eight".