87914016 has 144 divisors (see below), whose sum is σ = 265224960. Its totient is φ = 27578880.

The previous prime is 87913997. The next prime is 87914033. The reversal of 87914016 is 61041978.

87914016 = 1669² + 1670² + ... + 1699².

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 383790 + ... + 384018.

It is an arithmetic number, because the mean of its divisors is an integer number (1841840).

Almost surely, 2^87914016 is an apocalyptic number.

87914016 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 87914016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132612480).

87914016 is an abundant number, since it is smaller than the sum of its proper divisors (177310944).

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

87914016 is a wasteful number, since it uses less digits than its factorization.

87914016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 87914016 is about 9376.2474370080. The cubic root of 87914016 is about 444.6511021897.

The spelling of 87914016 in words is "eighty-seven million, nine hundred fourteen thousand, sixteen".