7648992 has 120 divisors (see below), whose sum is σ = 24332616. Its totient is φ = 2343168.

The previous prime is 7648987. The next prime is 7649003. The reversal of 7648992 is 2998467.

It is a happy number.

7648992 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 33583 + ... + 33809.

Almost surely, 2^7648992 is an apocalyptic number.

7648992 is a gapful number since it is divisible by the number (72) 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 7648992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12166308).

7648992 is an abundant number, since it is smaller than the sum of its proper divisors (16683624).

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

7648992 is a wasteful number, since it uses less digits than its factorization.

7648992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 245 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 7648992 is about 2765.6811096003. The cubic root of 7648992 is about 197.0310789518.

The spelling of 7648992 in words is "seven million, six hundred forty-eight thousand, nine hundred ninety-two".