364140 has 108 divisors (see below), whose sum is σ = 1340976. Its totient is φ = 78336.

The previous prime is 364129. The next prime is 364141. The reversal of 364140 is 41463.

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

It is a zygodrome in base 6.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 364140.

It is not an unprimeable number, because it can be changed into a prime (364141) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 21412 + ... + 21428.

2³⁶⁴¹⁴⁰ is an apocalyptic number.

364140 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 364140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670488).

364140 is an abundant number, since it is smaller than the sum of its proper divisors (976836).

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

364140 is a wasteful number, since it uses less digits than its factorization.

364140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 364140 is about 603.4401378762. The cubic root of 364140 is about 71.4095225395.

The spelling of 364140 in words is "three hundred sixty-four thousand, one hundred forty".