97532400 has 240 divisors, whose sum is σ = 378618624. Its totient is φ = 20951040.

The previous prime is 97532363. The next prime is 97532401. The reversal of 97532400 is 423579.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97532401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 142459 + ... + 143141.

Almost surely, 2^97532400 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 97532400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189309312).

97532400 is an abundant number, since it is smaller than the sum of its proper divisors (281086224).

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

97532400 is a wasteful number, since it uses less digits than its factorization.

97532400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728 (or 717 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 97532400 is about 9875.8493305639. The cubic root of 97532400 is about 460.3091809268.

Adding to 97532400 its reverse (423579), we get a palindrome (97955979).

The spelling of 97532400 in words is "ninety-seven million, five hundred thirty-two thousand, four hundred".