7874064 has 80 divisors (see below), whose sum is σ = 24671040. Its totient is φ = 2384640.

The previous prime is 7874059. The next prime is 7874071. The reversal of 7874064 is 4604787.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3924 + ... + 5580.

It is an arithmetic number, because the mean of its divisors is an integer number (308388).

Almost surely, 2^7874064 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 7874064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12335520).

7874064 is an abundant number, since it is smaller than the sum of its proper divisors (16796976).

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

7874064 is a wasteful number, since it uses less digits than its factorization.

7874064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1685 (or 1673 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 7874064 is about 2806.0762641097. The cubic root of 7874064 is about 198.9449777597.

It can be divided in two parts, 787 and 4064, that added together give a triangular number (4851 = T₉₈).

The spelling of 7874064 in words is "seven million, eight hundred seventy-four thousand, sixty-four".