970272720 has 240 divisors, whose sum is σ = 3481920000. Its totient is φ = 241597440.

The previous prime is 970272713. The next prime is 970272731. The reversal of 970272720 is 27272079.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 646531 + ... + 648029.

It is an arithmetic number, because the mean of its divisors is an integer number (14508000).

Almost surely, 2^970272720 is an apocalyptic number.

970272720 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 970272720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1740960000).

970272720 is an abundant number, since it is smaller than the sum of its proper divisors (2511647280).

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

970272720 is a wasteful number, since it uses less digits than its factorization.

970272720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1578 (or 1569 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 36.

The square root of 970272720 is about 31149.2009528334. The cubic root of 970272720 is about 989.9910620558.

The spelling of 970272720 in words is "nine hundred seventy million, two hundred seventy-two thousand, seven hundred twenty".