87498624 has 64 divisors (see below), whose sum is σ = 242547840. Its totient is φ = 27895296.

The previous prime is 87498613. The next prime is 87498641. The reversal of 87498624 is 42689478.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

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, 3879 + ... + 13785.

It is an arithmetic number, because the mean of its divisors is an integer number (3789810).

Almost surely, 2^87498624 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 87498624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121273920).

87498624 is an abundant number, since it is smaller than the sum of its proper divisors (155049216).

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

87498624 is a wasteful number, since it uses less digits than its factorization.

With its successor (87498625) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (9935).

87498624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9947 (or 9935 counting only the distinct ones).

The product of its digits is 774144, while the sum is 48.

The square root of 87498624 is about 9354.0699163519. The cubic root of 87498624 is about 443.9496737050.

The spelling of 87498624 in words is "eighty-seven million, four hundred ninety-eight thousand, six hundred twenty-four".