371296 has 24 divisors (see below), whose sum is σ = 751464. Its totient is φ = 180480.

The previous prime is 371291. The next prime is 371299. The reversal of 371296 is 692173.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (371291) by changing a digit.

371296 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 3 ways as a sum of consecutive naturals, for example, 1171 + ... + 1453.

It is an arithmetic number, because the mean of its divisors is an integer number (31311).

371296 is a Friedman number, since it can be written as 13^(7-2)+9-6, using all its digits and the basic arithmetic operations.

2³⁷¹²⁹⁶ 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 371296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375732).

371296 is an abundant number, since it is smaller than the sum of its proper divisors (380168).

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

371296 is a wasteful number, since it uses less digits than its factorization.

371296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 326 counting only the distinct ones).

The product of its digits is 2268, while the sum is 28.

The square root of 371296 is about 609.3406272357. The cubic root of 371296 is about 71.8742661551.

The spelling of 371296 in words is "three hundred seventy-one thousand, two hundred ninety-six".