363125640 has 64 divisors (see below), whose sum is σ = 1095091200. Its totient is φ = 96325632.

The previous prime is 363125629. The next prime is 363125641. The reversal of 363125640 is 46521363.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 363125598 and 363125607.

It is not an unprimeable number, because it can be changed into a prime (363125641) 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, 15321 + ... + 30999.

It is an arithmetic number, because the mean of its divisors is an integer number (17110800).

Almost surely, 2^363125640 is an apocalyptic number.

363125640 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 363125640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547545600).

363125640 is an abundant number, since it is smaller than the sum of its proper divisors (731965560).

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

363125640 is a wasteful number, since it uses less digits than its factorization.

363125640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15886 (or 15882 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 363125640 is about 19055.8557929052. The cubic root of 363125640 is about 713.4315399383.

The spelling of 363125640 in words is "three hundred sixty-three million, one hundred twenty-five thousand, six hundred forty".