972551808 has 96 divisors (see below), whose sum is σ = 2874383460. Its totient is φ = 315408384.

The previous prime is 972551807. The next prime is 972551831. The reversal of 972551808 is 808155279.

It is a happy number.

972551808 is a `hidden beast` number, since 97 + 2 + 551 + 8 + 0 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 668119104 + 304432704 = 25848^2 + 17448^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (972551807) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31216 + ... + 54032.

Almost surely, 2^972551808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 972551808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1437191730).

972551808 is an abundant number, since it is smaller than the sum of its proper divisors (1901831652).

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

972551808 is a wasteful number, since it uses less digits than its factorization.

972551808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22874 (or 22859 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 45.

The square root of 972551808 is about 31185.7629055311. The cubic root of 972551808 is about 990.7655908401.

The spelling of 972551808 in words is "nine hundred seventy-two million, five hundred fifty-one thousand, eight hundred eight".