307648 has 56 divisors (see below), whose sum is σ = 731520. Its totient is φ = 126720.

The previous prime is 307639. The next prime is 307651. The reversal of 307648 is 846703.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 13365 + ... + 13387.

2³⁰⁷⁶⁴⁸ is an apocalyptic number.

307648 is a gapful number since it is divisible by the number (38) 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 307648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365760).

307648 is an abundant number, since it is smaller than the sum of its proper divisors (423872).

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

307648 is a wasteful number, since it uses less digits than its factorization.

307648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 307648 is about 554.6602563732. The cubic root of 307648 is about 67.5073974517.

The spelling of 307648 in words is "three hundred seven thousand, six hundred forty-eight".