10970400 has 144 divisors (see below), whose sum is σ = 40872384. Its totient is φ = 2503680.

The previous prime is 10970383. The next prime is 10970447. The reversal of 10970400 is 407901.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16474 + ... + 17126.

It is an arithmetic number, because the mean of its divisors is an integer number (283836).

Almost surely, 2^10970400 is an apocalyptic number.

10970400 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 10970400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20436192).

10970400 is an abundant number, since it is smaller than the sum of its proper divisors (29901984).

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

10970400 is a wasteful number, since it uses less digits than its factorization.

10970400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 683 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 10970400 is about 3312.1594164533. The cubic root of 10970400 is about 222.1983455828.

The spelling of 10970400 in words is "ten million, nine hundred seventy thousand, four hundred".