49344064 has 224 divisors, whose sum is σ = 140451840. Its totient is φ = 16588800.

The previous prime is 49344037. The next prime is 49344067. The reversal of 49344064 is 46044394.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49344067) 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, 1591729 + ... + 1591759.

Almost surely, 2^49344064 is an apocalyptic number.

49344064 is a gapful number since it is divisible by the number (44) 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 49344064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70225920).

49344064 is an abundant number, since it is smaller than the sum of its proper divisors (91107776).

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

49344064 is a wasteful number, since it uses less digits than its factorization.

49344064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 34.

The square root of 49344064 is about 7024.5330093893. The cubic root of 49344064 is about 366.7850607572.

It can be divided in two parts, 4934 and 4064, that added together give a palindrome (8998).

The spelling of 49344064 in words is "forty-nine million, three hundred forty-four thousand, sixty-four".