87658080 has 192 divisors, whose sum is σ = 293787648. Its totient is φ = 21934080.

The previous prime is 87658079. The next prime is 87658121. The reversal of 87658080 is 8085678.

It is a happy number.

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, 639772 + ... + 639908.

It is an arithmetic number, because the mean of its divisors is an integer number (1530144).

Almost surely, 2^87658080 is an apocalyptic number.

87658080 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 87658080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146893824).

87658080 is an abundant number, since it is smaller than the sum of its proper divisors (206129568).

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

87658080 is a wasteful number, since it uses less digits than its factorization.

87658080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 42.

The square root of 87658080 is about 9362.5893854211. The cubic root of 87658080 is about 444.2191921537.

The spelling of 87658080 in words is "eighty-seven million, six hundred fifty-eight thousand, eighty".