49956660 has 144 divisors (see below), whose sum is σ = 167892816. Its totient is φ = 11943936.

The previous prime is 49956637. The next prime is 49956661. The reversal of 49956660 is 6665994.

It can be written as a sum of positive squares in 8 ways, for example, as 4717584 + 45239076 = 2172^2 + 6726^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49956661) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 86292 + ... + 86868.

Almost surely, 2^49956660 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 49956660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83946408).

49956660 is an abundant number, since it is smaller than the sum of its proper divisors (117936156).

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

49956660 is a wasteful number, since it uses less digits than its factorization.

49956660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 49956660 is about 7068.0025466888. The cubic root of 49956660 is about 368.2966751439.

The spelling of 49956660 in words is "forty-nine million, nine hundred fifty-six thousand, six hundred sixty".