366964000 has 96 divisors (see below), whose sum is σ = 971124336. Its totient is φ = 135475200.

The previous prime is 366963977. The next prime is 366964001. The reversal of 366964000 is 469663.

It can be written as a sum of positive squares in 8 ways, for example, as 46840336 + 320123664 = 6844^2 + 17892^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (366964001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48472 + ... + 55528.

Almost surely, 2^366964000 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 366964000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485562168).

366964000 is an abundant number, since it is smaller than the sum of its proper divisors (604160336).

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

366964000 is a wasteful number, since it uses less digits than its factorization.

366964000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7095 (or 7077 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 34.

The square root of 366964000 is about 19156.3044452734. The cubic root of 366964000 is about 715.9364715854.

The spelling of 366964000 in words is "three hundred sixty-six million, nine hundred sixty-four thousand".