87612640 has 48 divisors (see below), whose sum is σ = 210515760. Its totient is φ = 34447360.

The previous prime is 87612619. The next prime is 87612647. The reversal of 87612640 is 4621678.

It is a junction number, because it is equal to n+sod(n) for n = 87612596 and 87612605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87612647) 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, 4800 + ... + 14080.

It is an arithmetic number, because the mean of its divisors is an integer number (4385745).

Almost surely, 2^87612640 is an apocalyptic number.

87612640 is a gapful number since it is divisible by the number (80) 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 87612640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105257880).

87612640 is an abundant number, since it is smaller than the sum of its proper divisors (122903120).

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

87612640 is a wasteful number, since it uses less digits than its factorization.

87612640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9355 (or 9347 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 87612640 is about 9360.1623917537. The cubic root of 87612640 is about 444.1424211021.

The spelling of 87612640 in words is "eighty-seven million, six hundred twelve thousand, six hundred forty".