7892064 has 72 divisors (see below), whose sum is σ = 22833720. Its totient is φ = 2585088.

The previous prime is 7892057. The next prime is 7892069. The reversal of 7892064 is 4602987.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7892069) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19092 + ... + 19500.

It is an arithmetic number, because the mean of its divisors is an integer number (317135).

Almost surely, 2^7892064 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 7892064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11416860).

7892064 is an abundant number, since it is smaller than the sum of its proper divisors (14941656).

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

7892064 is a wasteful number, since it uses less digits than its factorization.

7892064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 7892064 is about 2809.2817587419. The cubic root of 7892064 is about 199.0964575354.

The spelling of 7892064 in words is "seven million, eight hundred ninety-two thousand, sixty-four".