87624720 has 160 divisors (see below), whose sum is σ = 305337600. Its totient is φ = 23095296.

The previous prime is 87624703. The next prime is 87624727. The reversal of 87624720 is 2742678.

87624720 is a `hidden beast` number, since 8 + 7 + 624 + 7 + 20 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (87624727) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 243901 + ... + 244259.

It is an arithmetic number, because the mean of its divisors is an integer number (1908360).

Almost surely, 2^87624720 is an apocalyptic number.

87624720 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 87624720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152668800).

87624720 is an abundant number, since it is smaller than the sum of its proper divisors (217712880).

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

87624720 is a wasteful number, since it uses less digits than its factorization.

87624720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 87624720 is about 9360.8076574620. The cubic root of 87624720 is about 444.1628328976.

The spelling of 87624720 in words is "eighty-seven million, six hundred twenty-four thousand, seven hundred twenty".