972622080 has 432 divisors, whose sum is σ = 3615917760. Its totient is φ = 250159104.

The previous prime is 972622073. The next prime is 972622081. The reversal of 972622080 is 80226279.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (972622081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16485091 + ... + 16485149.

It is an arithmetic number, because the mean of its divisors is an integer number (8370180).

Almost surely, 2^972622080 is an apocalyptic number.

972622080 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 972622080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1807958880).

972622080 is an abundant number, since it is smaller than the sum of its proper divisors (2643295680).

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

972622080 is an equidigital number, since it uses as much as digits as its factorization.

972622080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 972622080 is about 31186.8895531440. The cubic root of 972622080 is about 990.7894529460.

The spelling of 972622080 in words is "nine hundred seventy-two million, six hundred twenty-two thousand, eighty".