49561120 has 192 divisors, whose sum is σ = 150232320. Its totient is φ = 15040512.

The previous prime is 49561111. The next prime is 49561123. The reversal of 49561120 is 2116594.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (49561123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 361692 + ... + 361828.

It is an arithmetic number, because the mean of its divisors is an integer number (782460).

Almost surely, 2^49561120 is an apocalyptic number.

49561120 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 49561120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75116160).

49561120 is an abundant number, since it is smaller than the sum of its proper divisors (100671200).

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

49561120 is a wasteful number, since it uses less digits than its factorization.

49561120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 49561120 is about 7039.9659090084. The cubic root of 49561120 is about 367.3220821108.

The spelling of 49561120 in words is "forty-nine million, five hundred sixty-one thousand, one hundred twenty".