10650400 has 36 divisors (see below), whose sum is σ = 26002242. Its totient is φ = 4259840.

The previous prime is 10650377. The next prime is 10650401. The reversal of 10650400 is 405601.

It can be written as a sum of positive squares in 3 ways, for example, as 7160976 + 3489424 = 2676^2 + 1868^2 .

It is a super-2 number, since 2×10650400² = 226862040320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10650401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5857 + ... + 7456.

Almost surely, 2^10650400 is an apocalyptic number.

10650400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10650400 is an abundant number, since it is smaller than the sum of its proper divisors (15351842).

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

10650400 is a wasteful number, since it uses less digits than its factorization.

10650400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13333 (or 13320 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 10650400 is about 3263.4950589820. The cubic root of 10650400 is about 220.0165276839.

The spelling of 10650400 in words is "ten million, six hundred fifty thousand, four hundred".