8372364 has 192 divisors, whose sum is σ = 28449792. Its totient is φ = 1843200.

The previous prime is 8372359. The next prime is 8372383. The reversal of 8372364 is 4632738.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

Its product of digits (24192) is a multiple of the sum of its prime factors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 204184 + ... + 204224.

It is an arithmetic number, because the mean of its divisors is an integer number (148176).

Almost surely, 2^8372364 is an apocalyptic number.

8372364 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

8372364 is the 1547-th nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8372364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14224896).

8372364 is an abundant number, since it is smaller than the sum of its proper divisors (20077428).

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

8372364 is a wasteful number, since it uses less digits than its factorization.

8372364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 94 counting only the distinct ones).

The product of its digits is 24192, while the sum is 33.

The square root of 8372364 is about 2893.5037584216. The cubic root of 8372364 is about 203.0560968347.

The spelling of 8372364 in words is "eight million, three hundred seventy-two thousand, three hundred sixty-four".