8974400 has 84 divisors (see below), whose sum is σ = 22677120. Its totient is φ = 3494400.

The previous prime is 8974391. The next prime is 8974409. The reversal of 8974400 is 44798.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (8974391) and next prime (8974409).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (8974409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 113561 + ... + 113639.

Almost surely, 2^8974400 is an apocalyptic number.

8974400 is a gapful number since it is divisible by the number (80) 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 8974400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11338560).

8974400 is an abundant number, since it is smaller than the sum of its proper divisors (13702720).

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

8974400 is a wasteful number, since it uses less digits than its factorization.

8974400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 8974400 is about 2995.7302949364. The cubic root of 8974400 is about 207.8109722502.

The spelling of 8974400 in words is "eight million, nine hundred seventy-four thousand, four hundred".