87261624 has 80 divisors (see below), whose sum is σ = 245765520. Its totient is φ = 28926720.

The previous prime is 87261619. The next prime is 87261631. The reversal of 87261624 is 42616278.

87261624 is a `hidden beast` number, since 8 + 7 + 26 + 1 + 624 = 666.

It is a super-2 number, since 2×87261624² = 15229182046234752, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 201312 + ... + 201744.

It is an arithmetic number, because the mean of its divisors is an integer number (3072069).

Almost surely, 2^87261624 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 87261624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122882760).

87261624 is an abundant number, since it is smaller than the sum of its proper divisors (158503896).

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

87261624 is a wasteful number, since it uses less digits than its factorization.

87261624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 762 (or 749 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 87261624 is about 9341.3930438666. The cubic root of 87261624 is about 443.5484818247.

The spelling of 87261624 in words is "eighty-seven million, two hundred sixty-one thousand, six hundred twenty-four".