363664 has 40 divisors (see below), whose sum is σ = 857088. Its totient is φ = 145920.

The previous prime is 363659. The next prime is 363677. The reversal of 363664 is 466363.

It is a super-3 number, since 3×363664³ = 144285333829496832, which contains 333 as substring.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a zygodrome in base 6.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1809 + ... + 1999.

2³⁶³⁶⁶⁴ is an apocalyptic number.

363664 is a gapful number since it is divisible by the number (34) 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 363664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428544).

363664 is an abundant number, since it is smaller than the sum of its proper divisors (493424).

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

363664 is a wasteful number, since it uses less digits than its factorization.

363664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 217 counting only the distinct ones).

The product of its digits is 7776, while the sum is 28.

The square root of 363664 is about 603.0456035823. The cubic root of 363664 is about 71.3783937114.

The spelling of 363664 in words is "three hundred sixty-three thousand, six hundred sixty-four".