97653120 has 128 divisors (see below), whose sum is σ = 314102880. Its totient is φ = 25804800.

The previous prime is 97653119. The next prime is 97653197. The reversal of 97653120 is 2135679.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×97653120² = 19072263691468800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 347380 + ... + 347660.

Almost surely, 2^97653120 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 97653120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157051440).

97653120 is an abundant number, since it is smaller than the sum of its proper divisors (216449760).

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

97653120 is a wasteful number, since it uses less digits than its factorization.

97653120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 33.

The square root of 97653120 is about 9881.9593198920. The cubic root of 97653120 is about 460.4990173762.

Adding to 97653120 its reverse (2135679), we get a palindrome (99788799).

The spelling of 97653120 in words is "ninety-seven million, six hundred fifty-three thousand, one hundred twenty".