10974400 has 84 divisors (see below), whose sum is σ = 28503880. Its totient is φ = 4158720.

The previous prime is 10974391. The next prime is 10974409. The reversal of 10974400 is 447901.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (10974391) and next prime (10974409).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (10974409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 577591 + ... + 577609.

Almost surely, 2^10974400 is an apocalyptic number.

10974400 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 10974400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14251940).

10974400 is an abundant number, since it is smaller than the sum of its proper divisors (17529480).

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

10974400 is an frugal number, since it uses more digits than its factorization.

10974400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 26 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 10974400 is about 3312.7631970909. The cubic root of 10974400 is about 222.2253481042.

10974400 divided by its sum of digits (25) gives a cube (438976 = 76³).

The spelling of 10974400 in words is "ten million, nine hundred seventy-four thousand, four hundred".