97621200 has 300 divisors, whose sum is σ = 368378208. Its totient is φ = 24710400.

The previous prime is 97621159. The next prime is 97621231. The reversal of 97621200 is 212679.

It is a tau number, because it is divible by the number of its divisors (300).

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 59 ways as a sum of consecutive naturals, for example, 745135 + ... + 745265.

Almost surely, 2^97621200 is an apocalyptic number.

97621200 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 97621200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184189104).

97621200 is an abundant number, since it is smaller than the sum of its proper divisors (270757008).

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

97621200 is a wasteful number, since it uses less digits than its factorization.

97621200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 97621200 is about 9880.3441235617. The cubic root of 97621200 is about 460.4488372744.

Adding to 97621200 its reverse (212679), we get a palindrome (97833879).

The spelling of 97621200 in words is "ninety-seven million, six hundred twenty-one thousand, two hundred".