308672 has 56 divisors (see below), whose sum is σ = 768096. Its totient is φ = 119808.

The previous prime is 308663. The next prime is 308681. The reversal of 308672 is 276803.

It is an interprime number because it is at equal distance from previous prime (308663) and next prime (308681).

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a nialpdrome in base 13.

It is a congruent number.

It is an unprimeable number.

308672 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 7 ways as a sum of consecutive naturals, for example, 5798 + ... + 5850.

It is an arithmetic number, because the mean of its divisors is an integer number (13716).

2³⁰⁸⁶⁷² is an apocalyptic number.

308672 is a gapful number since it is divisible by the number (32) 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 308672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384048).

308672 is an abundant number, since it is smaller than the sum of its proper divisors (459424).

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

308672 is a wasteful number, since it uses less digits than its factorization.

308672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 308672 is about 555.5825771206. The cubic root of 308672 is about 67.5822134968.

The spelling of 308672 in words is "three hundred eight thousand, six hundred seventy-two".