87151680 has 448 divisors, whose sum is σ = 386242560. Its totient is φ = 17971200.

The previous prime is 87151643. The next prime is 87151693. The reversal of 87151680 is 8615178.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 665215 + ... + 665345.

Almost surely, 2^87151680 is an apocalyptic number.

87151680 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 87151680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193121280).

87151680 is an abundant number, since it is smaller than the sum of its proper divisors (299090880).

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

87151680 is a wasteful number, since it uses less digits than its factorization.

87151680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The square root of 87151680 is about 9335.5064136875. The cubic root of 87151680 is about 443.3621227402.

The spelling of 87151680 in words is "eighty-seven million, one hundred fifty-one thousand, six hundred eighty".