365681920 has 72 divisors (see below), whose sum is σ = 884295720. Its totient is φ = 144875520.

The previous prime is 365681903. The next prime is 365681947. The reversal of 365681920 is 29186563.

It can be written as a sum of positive squares in 4 ways, for example, as 116294656 + 249387264 = 10784^2 + 15792^2 .

It is a super-2 number, since 2×365681920² = 267446533229772800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

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, 138210 + ... + 140830.

It is an arithmetic number, because the mean of its divisors is an integer number (12281885).

Almost surely, 2^365681920 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 365681920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442147860).

365681920 is an abundant number, since it is smaller than the sum of its proper divisors (518613800).

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

365681920 is a wasteful number, since it uses less digits than its factorization.

365681920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2751 (or 2737 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 40.

The square root of 365681920 is about 19122.8115087714. The cubic root of 365681920 is about 715.1017313315.

The spelling of 365681920 in words is "three hundred sixty-five million, six hundred eighty-one thousand, nine hundred twenty".