49519680 has 112 divisors (see below), whose sum is σ = 179710080. Its totient is φ = 11317248.

The previous prime is 49519663. The next prime is 49519697. The reversal of 49519680 is 8691594.

It is an interprime number because it is at equal distance from previous prime (49519663) and next prime (49519697).

It is a tau number, because it is divible by the number of its divisors (112).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3036 + ... + 10404.

Almost surely, 2^49519680 is an apocalyptic number.

49519680 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 49519680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89855040).

49519680 is an abundant number, since it is smaller than the sum of its proper divisors (130190400).

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

49519680 is a wasteful number, since it uses less digits than its factorization.

49519680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7396 (or 7386 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The square root of 49519680 is about 7037.0220974500. The cubic root of 49519680 is about 367.2196760879.

The spelling of 49519680 in words is "forty-nine million, five hundred nineteen thousand, six hundred eighty".