87160608 has 72 divisors (see below), whose sum is σ = 249919488. Its totient is φ = 28812672.

The previous prime is 87160597. The next prime is 87160663. The reversal of 87160608 is 80606178.

It is a tau number, because it is divible by the number of its divisors (72).

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 11 ways as a sum of consecutive naturals, for example, 35385 + ... + 37767.

It is an arithmetic number, because the mean of its divisors is an integer number (3471104).

Almost surely, 2^87160608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87160608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124959744).

87160608 is an abundant number, since it is smaller than the sum of its proper divisors (162758880).

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

87160608 is a wasteful number, since it uses less digits than its factorization.

87160608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2526 (or 2515 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 87160608 is about 9335.9845758227. The cubic root of 87160608 is about 443.3772618703.

The spelling of 87160608 in words is "eighty-seven million, one hundred sixty thousand, six hundred eight".