359999640 has 768 divisors, whose sum is σ = 1673118720. Its totient is φ = 67184640.

The previous prime is 359999623. The next prime is 359999663. The reversal of 359999640 is 46999953.

359999640 is a `hidden beast` number, since 3 + 599 + 9 + 9 + 6 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 9729702 + ... + 9729738.

It is an arithmetic number, because the mean of its divisors is an integer number (2178540).

Almost surely, 2^359999640 is an apocalyptic number.

359999640 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 359999640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (836559360).

359999640 is an abundant number, since it is smaller than the sum of its proper divisors (1313119080).

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

359999640 is a wasteful number, since it uses less digits than its factorization.

359999640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 2361960, while the sum is 54.

The square root of 359999640 is about 18973.6564741749. The cubic root of 359999640 is about 711.3784237717.

It can be divided in two parts, 359 and 999640, that added together give a palindrome (999999).

The spelling of 359999640 in words is "three hundred fifty-nine million, nine hundred ninety-nine thousand, six hundred forty".