956664900 has 81 divisors (see below), whose sum is σ = 3001524253. Its totient is φ = 254863200.

The previous prime is 956664887. The next prime is 956664913. The reversal of 956664900 is 9466659.

The square root of 956664900 is 30930.

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

It is an interprime number because it is at equal distance from previous prime (956664887) and next prime (956664913).

It can be written as a sum of positive squares in only one way, i.e., 344399364 + 612265536 = 18558^2 + 24744^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 927385 + ... + 928415.

Almost surely, 2^956664900 is an apocalyptic number.

956664900 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

956664900 is the 30930-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 956664900

956664900 is an abundant number, since it is smaller than the sum of its proper divisors (2044859353).

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

956664900 is a wasteful number, since it uses less digits than its factorization.

956664900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2082 (or 1041 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The cubic root of 956664900 is about 985.3411343002.

It can be divided in two parts, 956 and 664900, that added together give a square (665856 = 816²).

The spelling of 956664900 in words is "nine hundred fifty-six million, six hundred sixty-four thousand, nine hundred".