363013140 has 96 divisors (see below), whose sum is σ = 1212180480. Its totient is φ = 79364736.

The previous prime is 363013099. The next prime is 363013141. The reversal of 363013140 is 41310363.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (363013141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9130 + ... + 28449.

It is an arithmetic number, because the mean of its divisors is an integer number (12626880).

Almost surely, 2^363013140 is an apocalyptic number.

363013140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

363013140 is an abundant number, since it is smaller than the sum of its proper divisors (849167340).

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

363013140 is a wasteful number, since it uses less digits than its factorization.

363013140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37621 (or 37619 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 363013140 is about 19052.9037157070. The cubic root of 363013140 is about 713.3578562235.

The spelling of 363013140 in words is "three hundred sixty-three million, thirteen thousand, one hundred forty".