49664124 has 96 divisors (see below), whose sum is σ = 135374400. Its totient is φ = 15724800.

The previous prime is 49664093. The next prime is 49664141. The reversal of 49664124 is 42146694.

49664124 is a `hidden beast` number, since 4 + 9 + 6 + 641 + 2 + 4 = 666.

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 316254 + ... + 316410.

It is an arithmetic number, because the mean of its divisors is an integer number (1410150).

Almost surely, 2^49664124 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 49664124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67687200).

49664124 is an abundant number, since it is smaller than the sum of its proper divisors (85710276).

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

49664124 is a wasteful number, since it uses less digits than its factorization.

49664124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 292 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 49664124 is about 7047.2777723033. The cubic root of 49664124 is about 367.5763772950.

It can be divided in two parts, 496 and 64124, that added together give a triangular number (64620 = T₃₅₉).

The spelling of 49664124 in words is "forty-nine million, six hundred sixty-four thousand, one hundred twenty-four".