874266624 has 405 divisors, whose sum is σ = 3229286151. Its totient is φ = 227082240.

The previous prime is 874266587. The next prime is 874266671. The reversal of 874266624 is 426662478.

The square root of 874266624 is 29568.

It is a perfect power (a square), and thus also a powerful number.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 874266624.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 79478779 + ... + 79478789.

Almost surely, 2^874266624 is an apocalyptic number.

874266624 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

874266624 is the 29568-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 874266624

874266624 is an abundant number, since it is smaller than the sum of its proper divisors (2355019527).

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

874266624 is a wasteful number, since it uses less digits than its factorization.

874266624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 23 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The cubic root of 874266624 is about 956.1982980633.

The spelling of 874266624 in words is "eight hundred seventy-four million, two hundred sixty-six thousand, six hundred twenty-four".