10632400 has 60 divisors (see below), whose sum is σ = 26908000. Its totient is φ = 4026240.

The previous prime is 10632367. The next prime is 10632403. The reversal of 10632400 is 423601.

It is a super-2 number, since 2×10632400² = 226095859520000, 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 (10632403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6901 + ... + 8299.

Almost surely, 2^10632400 is an apocalyptic number.

10632400 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 10632400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13454000).

10632400 is an abundant number, since it is smaller than the sum of its proper divisors (16275600).

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

10632400 is a wasteful number, since it uses less digits than its factorization.

10632400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1436 (or 1425 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 10632400 is about 3260.7361132112. The cubic root of 10632400 is about 219.8925094729.

The spelling of 10632400 in words is "ten million, six hundred thirty-two thousand, four hundred".