49593960 has 96 divisors (see below), whose sum is σ = 173595240. Its totient is φ = 12206592.

The previous prime is 49593953. The next prime is 49593961. The reversal of 49593960 is 6939594.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 16208676 + 33385284 = 4026^2 + 5778^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (49593961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 619 + ... + 9978.

Almost surely, 2^49593960 is an apocalyptic number.

49593960 is a gapful number since it is divisible by the number (40) 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 49593960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86797620).

49593960 is an abundant number, since it is smaller than the sum of its proper divisors (124001280).

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

49593960 is a wasteful number, since it uses less digits than its factorization.

49593960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10627 (or 10620 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The square root of 49593960 is about 7042.2979204234. The cubic root of 49593960 is about 367.4031953827.

The spelling of 49593960 in words is "forty-nine million, five hundred ninety-three thousand, nine hundred sixty".