364890 has 16 divisors (see below), whose sum is σ = 875808. Its totient is φ = 97296.

The previous prime is 364883. The next prime is 364891. The reversal of 364890 is 98463.

364890 = T₁₂₄ + T₁₂₅ + ... + T₁₅₉.

It is a Harshad number since it is a multiple of its sum of digits (30), and also a Moran number because the ratio is a prime number: 12163 = 364890 / (3 + 6 + 4 + 8 + 9 + 0).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (364891) by changing a digit.

364890 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 7 ways as a sum of consecutive naturals, for example, 6052 + ... + 6111.

It is an arithmetic number, because the mean of its divisors is an integer number (54738).

2³⁶⁴⁸⁹⁰ is an apocalyptic number.

364890 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

364890 is an abundant number, since it is smaller than the sum of its proper divisors (510918).

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

364890 is a wasteful number, since it uses less digits than its factorization.

364890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12173.

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 364890 is about 604.0612551720. The cubic root of 364890 is about 71.4585150646.

The spelling of 364890 in words is "three hundred sixty-four thousand, eight hundred ninety".