49613760 has 336 divisors, whose sum is σ = 205410816. Its totient is φ = 10745856.

The previous prime is 49613743. The next prime is 49613779. The reversal of 49613760 is 6731694.

49613760 = T₉₀₉ + T₉₁₀ + ... + T₁₀₁₅.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 463627 + ... + 463733.

Almost surely, 2^49613760 is an apocalyptic number.

49613760 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 49613760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102705408).

49613760 is an abundant number, since it is smaller than the sum of its proper divisors (155797056).

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

49613760 is a wasteful number, since it uses less digits than its factorization.

49613760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 49613760 is about 7043.7035712756. The cubic root of 49613760 is about 367.4520831598.

The spelling of 49613760 in words is "forty-nine million, six hundred thirteen thousand, seven hundred sixty".