87919104 has 320 divisors, whose sum is σ = 313479936. Its totient is φ = 21233664.

The previous prime is 87919081. The next prime is 87919157. The reversal of 87919104 is 40191978.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 2376174 + ... + 2376210.

Almost surely, 2^87919104 is an apocalyptic number.

87919104 is a gapful number since it is divisible by the number (84) 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 87919104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156739968).

87919104 is an abundant number, since it is smaller than the sum of its proper divisors (225560832).

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

87919104 is a wasteful number, since it uses less digits than its factorization.

87919104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 39.

The square root of 87919104 is about 9376.5187569801. The cubic root of 87919104 is about 444.6596800452.

The spelling of 87919104 in words is "eighty-seven million, nine hundred nineteen thousand, one hundred four".