363066240 has 128 divisors (see below), whose sum is σ = 1163289600. Its totient is φ = 96315392.

The previous prime is 363066217. The next prime is 363066241. The reversal of 363066240 is 42660363.

It is a tau number, because it is divible by the number of its divisors (128).

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 = 363066198 and 363066207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (363066241) 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, 504601 + ... + 505319.

It is an arithmetic number, because the mean of its divisors is an integer number (9088200).

Almost surely, 2^363066240 is an apocalyptic number.

363066240 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 363066240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581644800).

363066240 is an abundant number, since it is smaller than the sum of its proper divisors (800223360).

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

363066240 is a wasteful number, since it uses less digits than its factorization.

363066240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1004 (or 992 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

The square root of 363066240 is about 19054.2971531358. The cubic root of 363066240 is about 713.3926368336.

The spelling of 363066240 in words is "three hundred sixty-three million, sixty-six thousand, two hundred forty".