8670400 has 42 divisors (see below), whose sum is σ = 21338540. Its totient is φ = 3467520.

The previous prime is 8670397. The next prime is 8670407. The reversal of 8670400 is 40768.

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

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (8670407) 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 5 ways as a sum of consecutive naturals, for example, 1110 + ... + 4309.

Almost surely, 2^8670400 is an apocalyptic number.

8670400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8670400 is an abundant number, since it is smaller than the sum of its proper divisors (12668140).

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

8670400 is a wasteful number, since it uses less digits than its factorization.

8670400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5441 (or 5426 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 8670400 is about 2944.5542956448. The cubic root of 8670400 is about 205.4374951736.

The spelling of 8670400 in words is "eight million, six hundred seventy thousand, four hundred".