7473648 has 160 divisors (see below), whose sum is σ = 24998400. Its totient is φ = 1870848.

The previous prime is 7473623. The next prime is 7473679. The reversal of 7473648 is 8463747.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 126643 + ... + 126701.

It is an arithmetic number, because the mean of its divisors is an integer number (156240).

Almost surely, 2^7473648 is an apocalyptic number.

7473648 is a gapful number since it is divisible by the number (78) 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 7473648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12499200).

7473648 is an abundant number, since it is smaller than the sum of its proper divisors (17524752).

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

7473648 is a wasteful number, since it uses less digits than its factorization.

7473648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 113 counting only the distinct ones).

The product of its digits is 112896, while the sum is 39.

The square root of 7473648 is about 2733.7973589862. The cubic root of 7473648 is about 195.5138583810.

Subtracting 7473648 from its reverse (8463747), we obtain a palindrome (990099).

The spelling of 7473648 in words is "seven million, four hundred seventy-three thousand, six hundred forty-eight".