962860900 has 81 divisors (see below), whose sum is σ = 2184353899. Its totient is φ = 368388160.

The previous prime is 962860883. The next prime is 962860991. The reversal of 962860900 is 9068269.

It is a happy number.

The square root of 962860900 is 31030.

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

It can be written as a sum of positive squares in 4 ways, for example, as 13235044 + 949625856 = 3638^2 + 30816^2 .

It is a super-2 number, since 2×962860900² = 1854202225497620000, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8998647 + ... + 8998753.

Almost surely, 2^962860900 is an apocalyptic number.

962860900 is the 31030-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 962860900

962860900 is an abundant number, since it is smaller than the sum of its proper divisors (1221492999).

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

962860900 is a wasteful number, since it uses less digits than its factorization.

962860900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 40.

The cubic root of 962860900 is about 987.4638004142.

Multiplying 962860900 by its product of nonzero digits (46656), we get a square (44923238150400 = 6702480²).

The spelling of 962860900 in words is "nine hundred sixty-two million, eight hundred sixty thousand, nine hundred".