87320640 has 112 divisors (see below), whose sum is σ = 302483520. Its totient is φ = 21166080.

The previous prime is 87320617. The next prime is 87320657. The reversal of 87320640 is 4602378.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 87320598 and 87320607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6426 + ... + 14694.

Almost surely, 2^87320640 is an apocalyptic number.

87320640 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 87320640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151241760).

87320640 is an abundant number, since it is smaller than the sum of its proper divisors (215162880).

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

87320640 is a wasteful number, since it uses less digits than its factorization.

87320640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8300 (or 8290 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 87320640 is about 9344.5513535964. The cubic root of 87320640 is about 443.6484515368.

The spelling of 87320640 in words is "eighty-seven million, three hundred twenty thousand, six hundred forty".