373648 has 30 divisors (see below), whose sum is σ = 799862. Its totient is φ = 168960.

The previous prime is 373631. The next prime is 373649. The reversal of 373648 is 846373.

It can be written as a sum of positive squares in only one way, i.e., 278784 + 94864 = 528^2 + 308^2 .

It is a super-2 number, since 2×373648² = 279225655808, which contains 22 as substring.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 373648.

It is not an unprimeable number, because it can be changed into a prime (373649) by changing a digit.

373648 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 5 ways as a sum of consecutive naturals, for example, 1840 + ... + 2032.

2³⁷³⁶⁴⁸ 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 373648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399931).

373648 is an abundant number, since it is smaller than the sum of its proper divisors (426214).

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

373648 is a wasteful number, since it uses less digits than its factorization.

373648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 206 counting only the distinct ones).

The product of its digits is 12096, while the sum is 31.

The square root of 373648 is about 611.2675355358. The cubic root of 373648 is about 72.0257109822.

The spelling of 373648 in words is "three hundred seventy-three thousand, six hundred forty-eight".