307638 has 28 divisors (see below), whose sum is σ = 695148. Its totient is φ = 102060.

The previous prime is 307633. The next prime is 307639. The reversal of 307638 is 836703.

It is a happy number.

It is a super-2 number, since 2×307638² = 189282278088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (307631) by changing a digit.

307638 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 1353 + ... + 1563.

2³⁰⁷⁶³⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 307638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347574).

307638 is an abundant number, since it is smaller than the sum of its proper divisors (387510).

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

307638 is an equidigital number, since it uses as much as digits as its factorization.

307638 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 307638 is about 554.6512417727. The cubic root of 307638 is about 67.5066660083.

The spelling of 307638 in words is "three hundred seven thousand, six hundred thirty-eight".