876534624 has 144 divisors (see below), whose sum is σ = 2871348480. Its totient is φ = 248451840.

The previous prime is 876534601. The next prime is 876534643. The reversal of 876534624 is 426435678.

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

It is a self number, because there is not a number n which added to its sum of digits gives 876534624.

It is a congruent number.

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, 262437 + ... + 265755.

It is an arithmetic number, because the mean of its divisors is an integer number (19939920).

Almost surely, 2^876534624 is an apocalyptic number.

876534624 is a gapful number since it is divisible by the number (84) 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 876534624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1435674240).

876534624 is an abundant number, since it is smaller than the sum of its proper divisors (1994813856).

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

876534624 is a wasteful number, since it uses less digits than its factorization.

876534624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3473 (or 3462 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The square root of 876534624 is about 29606.3274318177. The cubic root of 876534624 is about 957.0244324433.

The spelling of 876534624 in words is "eight hundred seventy-six million, five hundred thirty-four thousand, six hundred twenty-four".