361900 has 72 divisors (see below), whose sum is σ = 999936. Its totient is φ = 110400.

The previous prime is 361877. The next prime is 361901. The reversal of 361900 is 9163.

It is a super-2 number, since 2×361900² = 261943220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (361901) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7677 + ... + 7723.

It is an arithmetic number, because the mean of its divisors is an integer number (13888).

2³⁶¹⁹⁰⁰ 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 361900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499968).

361900 is an abundant number, since it is smaller than the sum of its proper divisors (638036).

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

361900 is a wasteful number, since it uses less digits than its factorization.

361900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 19.

The square root of 361900 is about 601.5812497078. The cubic root of 361900 is about 71.2627965115.

It can be divided in two parts, 361 and 900, that multiplied together give a square (324900 = 570²).

The spelling of 361900 in words is "three hundred sixty-one thousand, nine hundred".