8379360 has 216 divisors, whose sum is σ = 32609304. Its totient is φ = 1943040.

The previous prime is 8379307. The next prime is 8379373. The reversal of 8379360 is 639738.

8379360 = 363² + 364² + ... + 417².

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 364309 + ... + 364331.

It is an arithmetic number, because the mean of its divisors is an integer number (150969).

Almost surely, 2^8379360 is an apocalyptic number.

8379360 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 8379360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16304652).

8379360 is an abundant number, since it is smaller than the sum of its proper divisors (24229944).

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

8379360 is a wasteful number, since it uses less digits than its factorization.

8379360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 8379360 is about 2894.7124209496. The cubic root of 8379360 is about 203.1126394056.

The spelling of 8379360 in words is "eight million, three hundred seventy-nine thousand, three hundred sixty".