49634640 has 160 divisors (see below), whose sum is σ = 186595200. Its totient is φ = 12026880.

The previous prime is 49634639. The next prime is 49634653. The reversal of 49634640 is 4643694.

49634640 = 186² + 187² + ... + 537².

49634640 is a `hidden beast` number, since 4 + 9 + 6 + 3 + 4 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 49634595 and 49634604.

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, 22716 + ... + 24804.

It is an arithmetic number, because the mean of its divisors is an integer number (1166220).

Almost surely, 2^49634640 is an apocalyptic number.

49634640 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 49634640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93297600).

49634640 is an abundant number, since it is smaller than the sum of its proper divisors (136960560).

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

49634640 is a wasteful number, since it uses less digits than its factorization.

49634640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2122 (or 2110 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 49634640 is about 7045.1855901743. The cubic root of 49634640 is about 367.5036234545.

The spelling of 49634640 in words is "forty-nine million, six hundred thirty-four thousand, six hundred forty".