97718400 has 480 divisors, whose sum is σ = 401732100. Its totient is φ = 23224320.

The previous prime is 97718399. The next prime is 97718419. The reversal of 97718400 is 481779.

It can be written as a sum of positive squares in 6 ways, for example, as 19289664 + 78428736 = 4392^2 + 8856^2 .

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3369586 + ... + 3369614.

Almost surely, 2^97718400 is an apocalyptic number.

97718400 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 97718400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200866050).

97718400 is an abundant number, since it is smaller than the sum of its proper divisors (304013700).

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

97718400 is a wasteful number, since it uses less digits than its factorization.

97718400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 97718400 is about 9885.2617567771. The cubic root of 97718400 is about 460.6016073047.

The spelling of 97718400 in words is "ninety-seven million, seven hundred eighteen thousand, four hundred".