5097600 has 192 divisors, whose sum is σ = 18972000. Its totient is φ = 1336320.

The previous prime is 5097583. The next prime is 5097613. The reversal of 5097600 is 67905.

5097600 is a `hidden beast` number, since 50 + 9 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86371 + ... + 86429.

Almost surely, 2^5097600 is an apocalyptic number.

5097600 is a gapful number since it is divisible by the number (50) 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 5097600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9486000).

5097600 is an abundant number, since it is smaller than the sum of its proper divisors (13874400).

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

5097600 is a wasteful number, since it uses less digits than its factorization.

5097600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 5097600 is about 2257.7865266672. The cubic root of 5097600 is about 172.1030570421.

The spelling of 5097600 in words is "five million, ninety-seven thousand, six hundred".