363613860 has 120 divisors (see below), whose sum is σ = 1145584440. Its totient is φ = 96546816.

The previous prime is 363613829. The next prime is 363613907. The reversal of 363613860 is 68316363.

363613860 is a `hidden beast` number, since 3 + 636 + 13 + 8 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 94128804 + 269485056 = 9702^2 + 16416^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 629892 + ... + 630468.

It is an arithmetic number, because the mean of its divisors is an integer number (9546537).

Almost surely, 2^363613860 is an apocalyptic number.

363613860 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 363613860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572792220).

363613860 is an abundant number, since it is smaller than the sum of its proper divisors (781970580).

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

363613860 is a wasteful number, since it uses less digits than its factorization.

363613860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 987 (or 976 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 363613860 is about 19068.6617254594. The cubic root of 363613860 is about 713.7511313999.

The spelling of 363613860 in words is "three hundred sixty-three million, six hundred thirteen thousand, eight hundred sixty".