8400672 has 120 divisors (see below), whose sum is σ = 28296576. Its totient is φ = 2395008.

The previous prime is 8400653. The next prime is 8400673. The reversal of 8400672 is 2760048.

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 (8400673) 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 19 ways as a sum of consecutive naturals, for example, 17913 + ... + 18375.

Almost surely, 2^8400672 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 8400672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14148288).

8400672 is an abundant number, since it is smaller than the sum of its proper divisors (19895904).

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

8400672 is a wasteful number, since it uses less digits than its factorization.

8400672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 475 counting only the distinct ones).

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

The square root of 8400672 is about 2898.3912779333. The cubic root of 8400672 is about 203.2846919990.

The spelling of 8400672 in words is "eight million, four hundred thousand, six hundred seventy-two".