874628640 has 144 divisors (see below), whose sum is σ = 3048409728. Its totient is φ = 228254208.

The previous prime is 874628639. The next prime is 874628669. The reversal of 874628640 is 46826478.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61219 + ... + 74141.

It is an arithmetic number, because the mean of its divisors is an integer number (21169512).

Almost surely, 2^874628640 is an apocalyptic number.

874628640 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 874628640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1524204864).

874628640 is an abundant number, since it is smaller than the sum of its proper divisors (2173781088).

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

874628640 is a wasteful number, since it uses less digits than its factorization.

874628640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12991 (or 12980 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 874628640 is about 29574.1211196546. The cubic root of 874628640 is about 956.3302605964.

The spelling of 874628640 in words is "eight hundred seventy-four million, six hundred twenty-eight thousand, six hundred forty".