49879680 has 128 divisors (see below), whose sum is σ = 161421120. Its totient is φ = 13099008.

The previous prime is 49879607. The next prime is 49879723. The reversal of 49879680 is 8697894.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 159204 + ... + 159516.

Almost surely, 2^49879680 is an apocalyptic number.

49879680 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 49879680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80710560).

49879680 is an abundant number, since it is smaller than the sum of its proper divisors (111541440).

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

49879680 is a wasteful number, since it uses less digits than its factorization.

49879680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 51.

The square root of 49879680 is about 7062.5547785486. The cubic root of 49879680 is about 368.1074040629.

The spelling of 49879680 in words is "forty-nine million, eight hundred seventy-nine thousand, six hundred eighty".