97401600 has 324 divisors, whose sum is σ = 370679400. Its totient is φ = 24330240.

The previous prime is 97401599. The next prime is 97401607. The reversal of 97401600 is 610479.

It is not an unprimeable number, because it can be changed into a prime (97401607) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1094356 + ... + 1094444.

Almost surely, 2^97401600 is an apocalyptic number.

97401600 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 97401600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185339700).

97401600 is an abundant number, since it is smaller than the sum of its proper divisors (273277800).

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

97401600 is a wasteful number, since it uses less digits than its factorization.

97401600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 118 counting only the distinct ones).

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

The square root of 97401600 is about 9869.2248935770. The cubic root of 97401600 is about 460.1033164278.

The spelling of 97401600 in words is "ninety-seven million, four hundred one thousand, six hundred".