10397600 has 72 divisors (see below), whose sum is σ = 26084268. Its totient is φ = 4044800.

The previous prime is 10397599. The next prime is 10397627. The reversal of 10397600 is 679301.

It is a happy number.

10397600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 80656 + 10316944 = 284^2 + 3212^2 .

It is a super-2 number, since 2×10397600² = 216220171520000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10397600.

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, 32642 + ... + 32958.

Almost surely, 2^10397600 is an apocalyptic number.

10397600 is a gapful number since it is divisible by the number (10) 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 10397600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13042134).

10397600 is an abundant number, since it is smaller than the sum of its proper divisors (15686668).

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

10397600 is a wasteful number, since it uses less digits than its factorization.

10397600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 26.

The square root of 10397600 is about 3224.5309736456. The cubic root of 10397600 is about 218.2617846607.

The spelling of 10397600 in words is "ten million, three hundred ninety-seven thousand, six hundred".