8672300 has 72 divisors (see below), whose sum is σ = 23186016. Its totient is φ = 2741760.

The previous prime is 8672297. The next prime is 8672333. The reversal of 8672300 is 32768.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 8672300.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8624 + ... + 9576.

It is an arithmetic number, because the mean of its divisors is an integer number (322028).

Almost surely, 2^8672300 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 8672300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11593008).

8672300 is an abundant number, since it is smaller than the sum of its proper divisors (14513716).

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

8672300 is a wasteful number, since it uses less digits than its factorization.

8672300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 987 (or 980 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 8672300 is about 2944.8769074445. The cubic root of 8672300 is about 205.4525003534.

The spelling of 8672300 in words is "eight million, six hundred seventy-two thousand, three hundred".