363604140 has 120 divisors (see below), whose sum is σ = 1200774960. Its totient is φ = 91850112.

The previous prime is 363604133. The next prime is 363604151. The reversal of 363604140 is 41406363.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 24874 + ... + 36686.

It is an arithmetic number, because the mean of its divisors is an integer number (10006458).

Almost surely, 2^363604140 is an apocalyptic number.

363604140 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 363604140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600387480).

363604140 is an abundant number, since it is smaller than the sum of its proper divisors (837170820).

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

363604140 is a wasteful number, since it uses less digits than its factorization.

363604140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11853 (or 11842 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 363604140 is about 19068.4068553196. The cubic root of 363604140 is about 713.7447714270.

The spelling of 363604140 in words is "three hundred sixty-three million, six hundred four thousand, one hundred forty".