369864 has 48 divisors (see below), whose sum is σ = 1095120. Its totient is φ = 111840.

The previous prime is 369851. The next prime is 369877. The reversal of 369864 is 468963.

369864 = T₈₉ + T₉₀ + ... + T₁₄₂.

It is an interprime number because it is at equal distance from previous prime (369851) and next prime (369877).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 369864.

It is an unprimeable number.

369864 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 559 + ... + 1025.

It is an arithmetic number, because the mean of its divisors is an integer number (22815).

2³⁶⁹⁸⁶⁴ 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 369864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547560).

369864 is an abundant number, since it is smaller than the sum of its proper divisors (725256).

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

369864 is a wasteful number, since it uses less digits than its factorization.

369864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 483 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 369864 is about 608.1644514439. The cubic root of 369864 is about 71.7817464843.

Subtracting 369864 from its reverse (468963), we obtain a palindrome (99099).

The spelling of 369864 in words is "three hundred sixty-nine thousand, eight hundred sixty-four".