87218880 has 112 divisors (see below), whose sum is σ = 316504320. Its totient is φ = 19934208.

The previous prime is 87218869. The next prime is 87218899. The reversal of 87218880 is 8881278.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 231 + ... + 13209.

Almost surely, 2^87218880 is an apocalyptic number.

87218880 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 87218880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158252160).

87218880 is an abundant number, since it is smaller than the sum of its proper divisors (229285440).

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

87218880 is a wasteful number, since it uses less digits than its factorization.

87218880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13006 (or 12996 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 42.

The square root of 87218880 is about 9339.1048821608. The cubic root of 87218880 is about 443.4760477967.

The spelling of 87218880 in words is "eighty-seven million, two hundred eighteen thousand, eight hundred eighty".