97124400 has 360 divisors, whose sum is σ = 382631760. Its totient is φ = 23316480.

The previous prime is 97124399. The next prime is 97124407. The reversal of 97124400 is 442179.

It is a happy number.

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 (27).

It is not an unprimeable number, because it can be changed into a prime (97124407) 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, 4222789 + ... + 4222811.

It is an arithmetic number, because the mean of its divisors is an integer number (1062866).

Almost surely, 2^97124400 is an apocalyptic number.

97124400 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 97124400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191315880).

97124400 is an abundant number, since it is smaller than the sum of its proper divisors (285507360).

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

97124400 is a wasteful number, since it uses less digits than its factorization.

97124400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 97124400 is about 9855.1712313891. The cubic root of 97124400 is about 459.6664248286. Note that the first 3 decimals are identical.

Adding to 97124400 its reverse (442179), we get a palindrome (97566579).

The spelling of 97124400 in words is "ninety-seven million, one hundred twenty-four thousand, four hundred".