87616592001 has 63 divisors (see below), whose sum is σ = 138883320531. Its totient is φ = 55240890624.

The previous prime is 87616591957. The next prime is 87616592003. The reversal of 87616592001 is 10029561678.

The square root of 87616592001 is 296001.

It is a perfect power (a square), and thus also a powerful number.

87616592001 is a `hidden beast` number, since 8 + 7 + 616 + 5 + 9 + 20 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 87010250625 + 606341376 = 294975^2 + 24624^2 .

It is not a de Polignac number, because 87616592001 - 2¹¹ = 87616589953 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (87616592003) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 151848225 + ... + 151848801.

Almost surely, 2^87616592001 is an apocalyptic number.

87616592001 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

87616592001 is the 296001-st square number.

87616592001 is the 148001-st centered octagonal number.

It is an amenable number.

87616592001 is a deficient number, since it is larger than the sum of its proper divisors (51266728530).

87616592001 is an frugal number, since it uses more digits than its factorization.

87616592001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1210 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 87616592001 in words is "eighty-seven billion, six hundred sixteen million, five hundred ninety-two thousand, one".