97653600 has 360 divisors, whose sum is σ = 391334328. Its totient is φ = 23500800.

The previous prime is 97653599. The next prime is 97653601. The reversal of 97653600 is 635679.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (97653599) and next prime (97653601).

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97653601) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 712732 + ... + 712868.

Almost surely, 2^97653600 is an apocalyptic number.

97653600 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 97653600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195667164).

97653600 is an abundant number, since it is smaller than the sum of its proper divisors (293680728).

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

97653600 is a wasteful number, since it uses less digits than its factorization.

97653600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 97653600 is about 9881.9836065438. The cubic root of 97653600 is about 460.4997718808.

The spelling of 97653600 in words is "ninety-seven million, six hundred fifty-three thousand, six hundred".