7452648 has 160 divisors (see below), whose sum is σ = 25090560. Its totient is φ = 2021760.

The previous prime is 7452619. The next prime is 7452659. The reversal of 7452648 is 8462547.

7452648 is a `hidden beast` number, since 7 + 4 + 5 + 2 + 648 = 666.

7452648 is nontrivially palindromic in base 5.

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

Its product of digits (53760) is a multiple of the sum of its prime divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 140590 + ... + 140642.

It is an arithmetic number, because the mean of its divisors is an integer number (156816).

Almost surely, 2^7452648 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 7452648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12545280).

7452648 is an abundant number, since it is smaller than the sum of its proper divisors (17637912).

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

7452648 is a wasteful number, since it uses less digits than its factorization.

7452648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 96 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 7452648 is about 2729.9538457637. The cubic root of 7452648 is about 195.3305635731.

It can be divided in two parts, 7452 and 648, that added together give a square (8100 = 90²).

The spelling of 7452648 in words is "seven million, four hundred fifty-two thousand, six hundred forty-eight".