971550720 has 416 divisors, whose sum is σ = 3963133440. Its totient is φ = 221184000.

The previous prime is 971550709. The next prime is 971550733. The reversal of 971550720 is 27055179.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3870595 + ... + 3870845.

Almost surely, 2^971550720 is an apocalyptic number.

971550720 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 971550720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1981566720).

971550720 is an abundant number, since it is smaller than the sum of its proper divisors (2991582720).

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

971550720 is a wasteful number, since it uses less digits than its factorization.

971550720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 22050, while the sum is 36.

The square root of 971550720 is about 31169.7083720718. The cubic root of 971550720 is about 990.4255287321.

The spelling of 971550720 in words is "nine hundred seventy-one million, five hundred fifty thousand, seven hundred twenty".