97591600 has 60 divisors (see below), whose sum is σ = 246823240. Its totient is φ = 36979200.

The previous prime is 97591591. The next prime is 97591631. The reversal of 97591600 is 619579.

It is a self number, because there is not a number n which added to its sum of digits gives 97591600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1180 + ... + 14020.

Almost surely, 2^97591600 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 97591600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123411620).

97591600 is an abundant number, since it is smaller than the sum of its proper divisors (149231640).

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

97591600 is a wasteful number, since it uses less digits than its factorization.

97591600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12878 (or 12867 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 37.

The square root of 97591600 is about 9878.8460864617. The cubic root of 97591600 is about 460.4022945722.

The spelling of 97591600 in words is "ninety-seven million, five hundred ninety-one thousand, six hundred".