10606400 has 84 divisors (see below), whose sum is σ = 29858208. Its totient is φ = 3632640.

The previous prime is 10606369. The next prime is 10606411. The reversal of 10606400 is 460601.

It is a super-2 number, since 2×10606400² = 224991441920000, which contains 22 as substring.

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, 10727 + ... + 11673.

Almost surely, 2^10606400 is an apocalyptic number.

10606400 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 10606400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14929104).

10606400 is an abundant number, since it is smaller than the sum of its proper divisors (19251808).

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

10606400 is an equidigital number, since it uses as much as digits as its factorization.

10606400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 976 (or 961 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 10606400 is about 3256.7468430936. The cubic root of 10606400 is about 219.7131247059.

The spelling of 10606400 in words is "ten million, six hundred six thousand, four hundred".