87234840 has 256 divisors, whose sum is σ = 362880000. Its totient is φ = 18109440.

The previous prime is 87234821. The next prime is 87234893. The reversal of 87234840 is 4843278.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 87234795 and 87234804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 82636 + ... + 83684.

It is an arithmetic number, because the mean of its divisors is an integer number (1417500).

Almost surely, 2^87234840 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 87234840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181440000).

87234840 is an abundant number, since it is smaller than the sum of its proper divisors (275645160).

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

87234840 is a wasteful number, since it uses less digits than its factorization.

87234840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1087 (or 1077 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 87234840 is about 9339.9593146865. The cubic root of 87234840 is about 443.5030963976.

The spelling of 87234840 in words is "eighty-seven million, two hundred thirty-four thousand, eight hundred forty".