97340400 has 120 divisors (see below), whose sum is σ = 346498160. Its totient is φ = 25954560.

The previous prime is 97340389. The next prime is 97340413. The reversal of 97340400 is 404379.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6294 + ... + 15306.

Almost surely, 2^97340400 is an apocalyptic number.

97340400 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 97340400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173249080).

97340400 is an abundant number, since it is smaller than the sum of its proper divisors (249157760).

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

97340400 is a wasteful number, since it uses less digits than its factorization.

97340400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9040 (or 9023 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 97340400 is about 9866.1238589428. The cubic root of 97340400 is about 460.0069312125.

Adding to 97340400 its reverse (404379), we get a palindrome (97744779).

The spelling of 97340400 in words is "ninety-seven million, three hundred forty thousand, four hundred".