373968 has 90 divisors (see below), whose sum is σ = 1240434. Its totient is φ = 104832.

The previous prime is 373963. The next prime is 373969. The reversal of 373968 is 869373.

It can be written as a sum of positive squares in only one way, i.e., 345744 + 28224 = 588^2 + 168^2 .

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 a nude number because it is divisible by every one of its digits.

It is an Ulam number.

Its product of digits (27216) is a multiple of the sum of its prime factors (81).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (373963) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7030 + ... + 7082.

2³⁷³⁹⁶⁸ 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 373968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620217).

373968 is an abundant number, since it is smaller than the sum of its proper divisors (866466).

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

373968 is a wasteful number, since it uses less digits than its factorization.

373968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 65 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 373968 is about 611.5292306996. The cubic root of 373968 is about 72.0462665594.

It can be divided in two parts, 37 and 3968, that added together give a triangular number (4005 = T₈₉).

The spelling of 373968 in words is "three hundred seventy-three thousand, nine hundred sixty-eight".