97246800 has 360 divisors, whose sum is σ = 410170176. Its totient is φ = 20828160.

The previous prime is 97246789. The next prime is 97246801. The reversal of 97246800 is 864279.

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

It is a super-2 number, since 2×97246800² = 18913880220480000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (97246801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 428287 + ... + 428513.

Almost surely, 2^97246800 is an apocalyptic number.

97246800 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 97246800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205085088).

97246800 is an abundant number, since it is smaller than the sum of its proper divisors (312923376).

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

97246800 is a wasteful number, since it uses less digits than its factorization.

97246800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 97246800 is about 9861.3792138828. The cubic root of 97246800 is about 459.8594403562.

The spelling of 97246800 in words is "ninety-seven million, two hundred forty-six thousand, eight hundred".