87210464 has 48 divisors (see below), whose sum is σ = 189105840. Its totient is φ = 39260160.

The previous prime is 87210451. The next prime is 87210467. The reversal of 87210464 is 46401278.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 87210464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87210467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37232 + ... + 39504.

It is an arithmetic number, because the mean of its divisors is an integer number (3939705).

Almost surely, 2^87210464 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 87210464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94552920).

87210464 is an abundant number, since it is smaller than the sum of its proper divisors (101895376).

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

87210464 is a wasteful number, since it uses less digits than its factorization.

87210464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2403 (or 2395 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 87210464 is about 9338.6542927769. The cubic root of 87210464 is about 443.4617832457.

The spelling of 87210464 in words is "eighty-seven million, two hundred ten thousand, four hundred sixty-four".