87216000 has 256 divisors, whose sum is σ = 305510400. Its totient is φ = 21964800.

The previous prime is 87215957. The next prime is 87216011. The reversal of 87216000 is 61278.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1103961 + ... + 1104039.

It is an arithmetic number, because the mean of its divisors is an integer number (1193400).

Almost surely, 2^87216000 is an apocalyptic number.

87216000 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 87216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152755200).

87216000 is an abundant number, since it is smaller than the sum of its proper divisors (218294400).

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

87216000 is a wasteful number, since it uses less digits than its factorization.

87216000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 87216000 is about 9338.9506905219. The cubic root of 87216000 is about 443.4711664947.

Adding to 87216000 its reverse (61278), we get a palindrome (87277278).

The spelling of 87216000 in words is "eighty-seven million, two hundred sixteen thousand".