351960 has 64 divisors (see below), whose sum is σ = 1209600. Its totient is φ = 80256.

The previous prime is 351959. The next prime is 351971. The reversal of 351960 is 69153.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 351960.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 631 + ... + 1049.

It is an arithmetic number, because the mean of its divisors is an integer number (18900).

2³⁵¹⁹⁶⁰ is an apocalyptic number.

351960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 351960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604800).

351960 is an abundant number, since it is smaller than the sum of its proper divisors (857640).

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

351960 is a wasteful number, since it uses less digits than its factorization.

351960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 24.

The square root of 351960 is about 593.2621680168. The cubic root of 351960 is about 70.6042920989.

The spelling of 351960 in words is "three hundred fifty-one thousand, nine hundred sixty".