49895760 has 80 divisors (see below), whose sum is σ = 155990016. Its totient is φ = 13192704.

The previous prime is 49895753. The next prime is 49895761. The reversal of 49895760 is 6759894.

49895760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49895761) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 29662 + ... + 31298.

Almost surely, 2^49895760 is an apocalyptic number.

49895760 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 49895760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77995008).

49895760 is an abundant number, since it is smaller than the sum of its proper divisors (106094256).

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

49895760 is a wasteful number, since it uses less digits than its factorization.

49895760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1780 (or 1774 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The square root of 49895760 is about 7063.6930850653. The cubic root of 49895760 is about 368.1469561149.

The spelling of 49895760 in words is "forty-nine million, eight hundred ninety-five thousand, seven hundred sixty".