10982400 has 264 divisors, whose sum is σ = 42643104. Its totient is φ = 2457600.

The previous prime is 10982393. The next prime is 10982407. The reversal of 10982400 is 428901.

It is an interprime number because it is at equal distance from previous prime (10982393) and next prime (10982407).

It is a tau number, because it is divible by the number of its divisors (264).

It is a super-2 number, since 2×10982400² = 241226219520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10982407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 844794 + ... + 844806.

Almost surely, 2^10982400 is an apocalyptic number.

10982400 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 10982400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21321552).

10982400 is an abundant number, since it is smaller than the sum of its proper divisors (31660704).

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

10982400 is a wasteful number, since it uses less digits than its factorization.

10982400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 10982400 is about 3313.9704283533. The cubic root of 10982400 is about 222.2793334693.

The spelling of 10982400 in words is "ten million, nine hundred eighty-two thousand, four hundred".