351090 has 48 divisors (see below), whose sum is σ = 943488. Its totient is φ = 90528.

The previous prime is 351079. The next prime is 351097. The reversal of 351090 is 90153.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 351090.

It is not an unprimeable number, because it can be changed into a prime (351097) 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 23 ways as a sum of consecutive naturals, for example, 4189 + ... + 4271.

It is an arithmetic number, because the mean of its divisors is an integer number (19656).

2³⁵¹⁰⁹⁰ is an apocalyptic number.

351090 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 351090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471744).

351090 is an abundant number, since it is smaller than the sum of its proper divisors (592398).

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

351090 is a wasteful number, since it uses less digits than its factorization.

351090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 18.

The square root of 351090 is about 592.5284803282. The cubic root of 351090 is about 70.5460691797.

It can be divided in two parts, 3510 and 90, that added together give a square (3600 = 60²).

The spelling of 351090 in words is "three hundred fifty-one thousand, ninety".