972206088 has 64 divisors (see below), whose sum is σ = 2784720000. Its totient is φ = 277074432.

The previous prime is 972206057. The next prime is 972206089. The reversal of 972206088 is 880602279.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (972206089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61638 + ... + 75786.

It is an arithmetic number, because the mean of its divisors is an integer number (43511250).

Almost surely, 2^972206088 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 972206088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1392360000).

972206088 is an abundant number, since it is smaller than the sum of its proper divisors (1812513912).

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

972206088 is a wasteful number, since it uses less digits than its factorization.

972206088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14574 (or 14570 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 972206088 is about 31180.2194989067. The cubic root of 972206088 is about 990.6481787317.

The spelling of 972206088 in words is "nine hundred seventy-two million, two hundred six thousand, eighty-eight".