351864 has 48 divisors (see below), whose sum is σ = 993720. Its totient is φ = 116640.

The previous prime is 351863. The next prime is 351887. The reversal of 351864 is 468153.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (351863) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1854 + ... + 2034.

2³⁵¹⁸⁶⁴ 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 351864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496860).

351864 is an abundant number, since it is smaller than the sum of its proper divisors (641856).

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

351864 is a wasteful number, since it uses less digits than its factorization.

351864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 186 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 351864 is about 593.1812539182. The cubic root of 351864 is about 70.5978722137.

The spelling of 351864 in words is "three hundred fifty-one thousand, eight hundred sixty-four".