363760540 has 48 divisors (see below), whose sum is σ = 897452640. Its totient is φ = 122100480.

The previous prime is 363760519. The next prime is 363760549. The reversal of 363760540 is 45067363.

It is a super-2 number, since 2×363760540² = 264643460922183200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 363760496 and 363760505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (363760549) 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, 60735 + ... + 66454.

It is an arithmetic number, because the mean of its divisors is an integer number (18696930).

Almost surely, 2^363760540 is an apocalyptic number.

It is an amenable number.

363760540 is an abundant number, since it is smaller than the sum of its proper divisors (533692100).

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

363760540 is a wasteful number, since it uses less digits than its factorization.

363760540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127222 (or 127220 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 34.

The square root of 363760540 is about 19072.5074387192. The cubic root of 363760540 is about 713.8470930349.

The spelling of 363760540 in words is "three hundred sixty-three million, seven hundred sixty thousand, five hundred forty".