87335616676 has 243 divisors, whose sum is σ = 208311483681. Its totient is φ = 31916808000.

The previous prime is 87335616653. The next prime is 87335616677. The reversal of 87335616676 is 67661653378.

The square root of 87335616676 is 295526.

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

It can be written as a sum of positive squares in only one way, i.e., 83911026276 + 3424590400 = 289674^2 + 58520^2 .

Its product of digits (22861440) is a multiple of the sum of its prime divisors (140).

It is a self number, because there is not a number n which added to its sum of digits gives 87335616676.

It is not an unprimeable number, because it can be changed into a prime (87335616677) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 864709026 + ... + 864709126.

Almost surely, 2^87335616676 is an apocalyptic number.

87335616676 is the 295526-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87335616676

87335616676 is an abundant number, since it is smaller than the sum of its proper divisors (120975867005).

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

87335616676 is a wasteful number, since it uses less digits than its factorization.

87335616676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 140 counting only the distinct ones).

The product of its digits is 22861440, while the sum is 58.

The spelling of 87335616676 in words is "eighty-seven billion, three hundred thirty-five million, six hundred sixteen thousand, six hundred seventy-six".