813672 has 32 divisors (see below), whose sum is σ = 2260800. Its totient is φ = 271152.

The previous prime is 813647. The next prime is 813677. The reversal of 813672 is 276318.

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

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (813677) by changing a digit.

813672 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, 1668 + ... + 2099.

It is an arithmetic number, because the mean of its divisors is an integer number (70650).

2⁸¹³⁶⁷² is an apocalyptic number.

It is an amenable number.

813672 is an abundant number, since it is smaller than the sum of its proper divisors (1447128).

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

813672 is a wasteful number, since it uses less digits than its factorization.

813672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3782 (or 3772 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 813672 is about 902.0376932257. The cubic root of 813672 is about 93.3576240631.

It can be divided in two parts, 813 and 672, that added together give a triangular number (1485 = T₅₄).

The spelling of 813672 in words is "eight hundred thirteen thousand, six hundred seventy-two".