97950720 has 176 divisors, whose sum is σ = 358437888. Its totient is φ = 22364160.

The previous prime is 97950703. The next prime is 97950739. The reversal of 97950720 is 2705979.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 107065 + ... + 107975.

Almost surely, 2^97950720 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 97950720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179218944).

97950720 is an abundant number, since it is smaller than the sum of its proper divisors (260487168).

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

97950720 is a wasteful number, since it uses less digits than its factorization.

97950720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 946 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 39690, while the sum is 39.

The square root of 97950720 is about 9897.0056077583. The cubic root of 97950720 is about 460.9663365546.

The spelling of 97950720 in words is "ninety-seven million, nine hundred fifty thousand, seven hundred twenty".