87501216 has 192 divisors, whose sum is σ = 268240896. Its totient is φ = 24729600.

The previous prime is 87501203. The next prime is 87501229. The reversal of 87501216 is 61210578.

It is an interprime number because it is at equal distance from previous prime (87501203) and next prime (87501229).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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, 1861705 + ... + 1861751.

It is an arithmetic number, because the mean of its divisors is an integer number (1397088).

Almost surely, 2^87501216 is an apocalyptic number.

87501216 is a gapful number since it is divisible by the number (86) 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 87501216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134120448).

87501216 is an abundant number, since it is smaller than the sum of its proper divisors (180739680).

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

87501216 is a wasteful number, since it uses less digits than its factorization.

87501216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

The square root of 87501216 is about 9354.2084646431. The cubic root of 87501216 is about 443.9540574166.

The spelling of 87501216 in words is "eighty-seven million, five hundred one thousand, two hundred sixteen".