97329600 has 210 divisors, whose sum is σ = 358235504. Its totient is φ = 25920000.

The previous prime is 97329581. The next prime is 97329601. The reversal of 97329600 is 692379.

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 (97329601) 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 29 ways as a sum of consecutive naturals, for example, 129225 + ... + 129975.

Almost surely, 2^97329600 is an apocalyptic number.

97329600 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 97329600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179117752).

97329600 is an abundant number, since it is smaller than the sum of its proper divisors (260905904).

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

97329600 is a wasteful number, since it uses less digits than its factorization.

97329600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 97329600 is about 9865.5765163522. The cubic root of 97329600 is about 459.9899178635.

The spelling of 97329600 in words is "ninety-seven million, three hundred twenty-nine thousand, six hundred".