97562400 has 288 divisors, whose sum is σ = 354352320. Its totient is φ = 23162880.

The previous prime is 97562299. The next prime is 97562401. The reversal of 97562400 is 426579.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97562401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1653571 + ... + 1653629.

It is an arithmetic number, because the mean of its divisors is an integer number (1230390).

Almost surely, 2^97562400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97562400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177176160).

97562400 is an abundant number, since it is smaller than the sum of its proper divisors (256789920).

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

97562400 is a wasteful number, since it uses less digits than its factorization.

97562400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 97562400 is about 9877.3680704933. The cubic root of 97562400 is about 460.3563716033.

Adding to 97562400 its reverse (426579), we get a palindrome (97988979).

It can be divided in two parts, 975 and 62400, that multiplied together give a square (60840000 = 7800²).

The spelling of 97562400 in words is "ninety-seven million, five hundred sixty-two thousand, four hundred".