365940960 has 192 divisors, whose sum is σ = 1437295104. Its totient is φ = 76032000.

The previous prime is 365940943. The next prime is 365940973. The reversal of 365940960 is 69049563.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32010 + ... + 41910.

It is an arithmetic number, because the mean of its divisors is an integer number (7485912).

Almost surely, 2^365940960 is an apocalyptic number.

365940960 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 365940960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718647552).

365940960 is an abundant number, since it is smaller than the sum of its proper divisors (1071354144).

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

365940960 is a wasteful number, since it uses less digits than its factorization.

365940960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9937 (or 9929 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 42.

The square root of 365940960 is about 19129.5833723581. The cubic root of 365940960 is about 715.2705449185.

The spelling of 365940960 in words is "three hundred sixty-five million, nine hundred forty thousand, nine hundred sixty".