97653360 has 160 divisors (see below), whose sum is σ = 355548672. Its totient is φ = 21703680.

The previous prime is 97653359. The next prime is 97653419. The reversal of 97653360 is 6335679.

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 31 ways as a sum of consecutive naturals, for example, 61375 + ... + 62945.

Almost surely, 2^97653360 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 97653360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177774336).

97653360 is an abundant number, since it is smaller than the sum of its proper divisors (257895312).

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

97653360 is a wasteful number, since it uses less digits than its factorization.

97653360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1631 (or 1625 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 39.

The square root of 97653360 is about 9881.9714632253. The cubic root of 97653360 is about 460.4993946288.

The spelling of 97653360 in words is "ninety-seven million, six hundred fifty-three thousand, three hundred sixty".