6293598960 has 160 divisors (see below), whose sum is σ = 21480053760. Its totient is φ = 1511654400.

The previous prime is 6293598947. The next prime is 6293599021. The reversal of 6293598960 is 698953926.

It is a self number, because there is not a number n which added to its sum of digits gives 6293598960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 276825 + ... + 298695.

It is an arithmetic number, because the mean of its divisors is an integer number (134250336).

Almost surely, 2^6293598960 is an apocalyptic number.

6293598960 is a gapful number since it is divisible by the number (60) 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 6293598960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10740026880).

6293598960 is an abundant number, since it is smaller than the sum of its proper divisors (15186454800).

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

6293598960 is a wasteful number, since it uses less digits than its factorization.

6293598960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22007 (or 22001 counting only the distinct ones).

The product of its (nonzero) digits is 6298560, while the sum is 57.

The square root of 6293598960 is about 79332.2063225270. The cubic root of 6293598960 is about 1846.2890265652.

The spelling of 6293598960 in words is "six billion, two hundred ninety-three million, five hundred ninety-eight thousand, nine hundred sixty".