8672400 has 240 divisors, whose sum is σ = 34134720. Its totient is φ = 2073600.

The previous prime is 8672387. The next prime is 8672407. The reversal of 8672400 is 42768.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (8672407) 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 47 ways as a sum of consecutive naturals, for example, 118764 + ... + 118836.

It is an arithmetic number, because the mean of its divisors is an integer number (142228).

Almost surely, 2^8672400 is an apocalyptic number.

8672400 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 8672400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17067360).

8672400 is an abundant number, since it is smaller than the sum of its proper divisors (25462320).

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

8672400 is a wasteful number, since it uses less digits than its factorization.

8672400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 8672400 is about 2944.8938860339. The cubic root of 8672400 is about 205.4532900390.

The spelling of 8672400 in words is "eight million, six hundred seventy-two thousand, four hundred".