49667640 has 128 divisors (see below), whose sum is σ = 164229120. Its totient is φ = 11916800.

The previous prime is 49667609. The next prime is 49667647. The reversal of 49667640 is 4676694.

It is a junction number, because it is equal to n+sod(n) for n = 49667592 and 49667601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49667647) 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, 252022 + ... + 252218.

It is an arithmetic number, because the mean of its divisors is an integer number (1283040).

Almost surely, 2^49667640 is an apocalyptic number.

49667640 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 49667640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82114560).

49667640 is an abundant number, since it is smaller than the sum of its proper divisors (114561480).

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

49667640 is a wasteful number, since it uses less digits than its factorization.

49667640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The square root of 49667640 is about 7047.5272259141. The cubic root of 49667640 is about 367.5850513501.

The spelling of 49667640 in words is "forty-nine million, six hundred sixty-seven thousand, six hundred forty".