7630848 has 130 divisors (see below), whose sum is σ = 23786664. Its totient is φ = 2433024.

The previous prime is 7630829. The next prime is 7630849. The reversal of 7630848 is 8480367.

It is a super-3 number, since 3×7630848³ (a number of 22 digits) contains 333 as substring.

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 (7630849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 331765 + ... + 331787.

Almost surely, 2^7630848 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 7630848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11893332).

7630848 is an abundant number, since it is smaller than the sum of its proper divisors (16155816).

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

7630848 is an equidigital number, since it uses as much as digits as its factorization.

7630848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 7630848 is about 2762.3989574281. The cubic root of 7630848 is about 196.8751646257.

The spelling of 7630848 in words is "seven million, six hundred thirty thousand, eight hundred forty-eight".