957672 has 48 divisors (see below), whose sum is σ = 2658240. Its totient is φ = 311328.

The previous prime is 957659. The next prime is 957701. The reversal of 957672 is 276759.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3243 + ... + 3525.

It is an arithmetic number, because the mean of its divisors is an integer number (55380).

2⁹⁵⁷⁶⁷² 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 957672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1329120).

957672 is an abundant number, since it is smaller than the sum of its proper divisors (1700568).

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

957672 is a wasteful number, since it uses less digits than its factorization.

957672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 335 counting only the distinct ones).

The product of its digits is 26460, while the sum is 36.

The square root of 957672 is about 978.6071734869. The cubic root of 957672 is about 98.5686775720.

The spelling of 957672 in words is "nine hundred fifty-seven thousand, six hundred seventy-two".