10980400 has 60 divisors (see below), whose sum is σ = 26746552. Its totient is φ = 4331520.

The previous prime is 10980391. The next prime is 10980401. The reversal of 10980400 is 408901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10980401) 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, 38659 + ... + 38941.

Almost surely, 2^10980400 is an apocalyptic number.

10980400 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 10980400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13373276).

10980400 is an abundant number, since it is smaller than the sum of its proper divisors (15766152).

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

10980400 is a wasteful number, since it uses less digits than its factorization.

10980400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 10980400 is about 3313.6686617705. The cubic root of 10980400 is about 222.2658395865.

The spelling of 10980400 in words is "ten million, nine hundred eighty thousand, four hundred".