364616 has 32 divisors (see below), whose sum is σ = 829440. Its totient is φ = 146688.

The previous prime is 364607. The next prime is 364621. The reversal of 364616 is 616463.

364616 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 364616.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 761 + ... + 1143.

It is an arithmetic number, because the mean of its divisors is an integer number (25920).

2³⁶⁴⁶¹⁶ 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 364616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414720).

364616 is an abundant number, since it is smaller than the sum of its proper divisors (464824).

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

364616 is a wasteful number, since it uses less digits than its factorization.

364616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 409 counting only the distinct ones).

The product of its digits is 2592, while the sum is 26.

The square root of 364616 is about 603.8344143886. The cubic root of 364616 is about 71.4406242518.

It can be divided in two parts, 36 and 4616, that multiplied together give a triangular number (166176 = T₅₇₆).

The spelling of 364616 in words is "three hundred sixty-four thousand, six hundred sixteen".