49613616 has 120 divisors (see below), whose sum is σ = 158427360. Its totient is φ = 14358528.

The previous prime is 49613611. The next prime is 49613621. The reversal of 49613616 is 61631694.

It is an interprime number because it is at equal distance from previous prime (49613611) and next prime (49613621).

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (49613611) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31045 + ... + 32603.

It is an arithmetic number, because the mean of its divisors is an integer number (1320228).

Almost surely, 2^49613616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49613616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79213680).

49613616 is an abundant number, since it is smaller than the sum of its proper divisors (108813744).

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

49613616 is a wasteful number, since it uses less digits than its factorization.

49613616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1603 (or 1594 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 49613616 is about 7043.6933493729. The cubic root of 49613616 is about 367.4517276593.

The spelling of 49613616 in words is "forty-nine million, six hundred thirteen thousand, six hundred sixteen".