87620736064 has 63 divisors (see below), whose sum is σ = 175719724887. Its totient is φ = 43349779584.

The previous prime is 87620736061. The next prime is 87620736089. The reversal of 87620736064 is 46063702678.

The square root of 87620736064 is 296008.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 87620735999 and 87620736017.

It is not an unprimeable number, because it can be changed into a prime (87620736061) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 385994319 + ... + 385994545.

Almost surely, 2^87620736064 is an apocalyptic number.

87620736064 is the 296008-th square number.

It is an amenable number.

87620736064 is an abundant number, since it is smaller than the sum of its proper divisors (88098988823).

87620736064 is an frugal number, since it uses more digits than its factorization.

87620736064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 792 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 49.

Multiplying 87620736064 by its sum of digits (49), we get a square (4293416067136 = 2072056²).

The spelling of 87620736064 in words is "eighty-seven billion, six hundred twenty million, seven hundred thirty-six thousand, sixty-four".