9872400 has 120 divisors (see below), whose sum is σ = 33365920. Its totient is φ = 2488320.

The previous prime is 9872399. The next prime is 9872407. The reversal of 9872400 is 42789.

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (9872407) 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, 22584 + ... + 23016.

Almost surely, 2^9872400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9872400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16682960).

9872400 is an abundant number, since it is smaller than the sum of its proper divisors (23493520).

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

9872400 is a wasteful number, since it uses less digits than its factorization.

9872400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 9872400 is about 3142.0375554726. The cubic root of 9872400 is about 214.5231906942.

The spelling of 9872400 in words is "nine million, eight hundred seventy-two thousand, four hundred".