971568900 has 81 divisors (see below), whose sum is σ = 3048262581. Its totient is φ = 258835680.

The previous prime is 971568889. The next prime is 971568901. The reversal of 971568900 is 9865179.

The square root of 971568900 is 31170.

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., 349764804 + 621804096 = 18702^2 + 24936^2 .

It is a super-2 number, since 2×971568900² = 1887892254894420000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (971568901) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 934581 + ... + 935619.

Almost surely, 2^971568900 is an apocalyptic number.

971568900 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

971568900 is the 31170-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 971568900

971568900 is an abundant number, since it is smaller than the sum of its proper divisors (2076693681).

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

971568900 is a wasteful number, since it uses less digits than its factorization.

971568900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2098 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The cubic root of 971568900 is about 990.4317064243.

The spelling of 971568900 in words is "nine hundred seventy-one million, five hundred sixty-eight thousand, nine hundred".