97426800 has 300 divisors, whose sum is σ = 364657216. Its totient is φ = 24883200.

The previous prime is 97426729. The next prime is 97426801. The reversal of 97426800 is 862479.

It is a tau number, because it is divible by the number of its divisors (300).

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 (97426801) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1004352 + ... + 1004448.

Almost surely, 2^97426800 is an apocalyptic number.

97426800 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 97426800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182328608).

97426800 is an abundant number, since it is smaller than the sum of its proper divisors (267230416).

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

97426800 is a wasteful number, since it uses less digits than its factorization.

97426800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 138 counting only the distinct ones).

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

The square root of 97426800 is about 9870.5015070157. The cubic root of 97426800 is about 460.1429927226.

The spelling of 97426800 in words is "ninety-seven million, four hundred twenty-six thousand, eight hundred".