364620 has 48 divisors (see below), whose sum is σ = 1048320. Its totient is φ = 94656.

The previous prime is 364607. The next prime is 364621. The reversal of 364620 is 26463.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 364620.

It is not an unprimeable number, because it can be changed into a prime (364621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3489 + ... + 3591.

It is an arithmetic number, because the mean of its divisors is an integer number (21840).

2³⁶⁴⁶²⁰ is an apocalyptic number.

364620 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 364620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524160).

364620 is an abundant number, since it is smaller than the sum of its proper divisors (683700).

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

364620 is a wasteful number, since it uses less digits than its factorization.

364620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 364620 is about 603.8377265458. The cubic root of 364620 is about 71.4408854960.

It can be divided in two parts, 36 and 4620, that added together give a triangular number (4656 = T₉₆).

The spelling of 364620 in words is "three hundred sixty-four thousand, six hundred twenty".