87330720 has 96 divisors (see below), whose sum is σ = 284014080. Its totient is φ = 22533120.

The previous prime is 87330643. The next prime is 87330799. The reversal of 87330720 is 2703378.

It is a tau number, because it is divible by the number of its divisors (96).

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

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, 11946 + ... + 17814.

It is an arithmetic number, because the mean of its divisors is an integer number (2958480).

Almost surely, 2^87330720 is an apocalyptic number.

87330720 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 87330720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142007040).

87330720 is an abundant number, since it is smaller than the sum of its proper divisors (196683360).

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

87330720 is a wasteful number, since it uses less digits than its factorization.

87330720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5918 (or 5910 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 87330720 is about 9345.0906897686. The cubic root of 87330720 is about 443.6655219733.

The spelling of 87330720 in words is "eighty-seven million, three hundred thirty thousand, seven hundred twenty".