337960 has 64 divisors (see below), whose sum is σ = 933120. Its totient is φ = 107520.

The previous prime is 337957. The next prime is 337969. The reversal of 337960 is 69733.

It is a super-2 number, since 2×337960² = 228433923200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (337969) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4725 + ... + 4795.

It is an arithmetic number, because the mean of its divisors is an integer number (14580).

2³³⁷⁹⁶⁰ 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 337960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466560).

337960 is an abundant number, since it is smaller than the sum of its proper divisors (595160).

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

337960 is a wasteful number, since it uses less digits than its factorization.

337960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 28.

The square root of 337960 is about 581.3432720863. The cubic root of 337960 is about 69.6554497125.

The spelling of 337960 in words is "three hundred thirty-seven thousand, nine hundred sixty".