49968600 has 192 divisors, whose sum is σ = 173024640. Its totient is φ = 11827200.

The previous prime is 49968587. The next prime is 49968601. The reversal of 49968600 is 686994.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49968601) 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, 442144 + ... + 442256.

It is an arithmetic number, because the mean of its divisors is an integer number (901170).

Almost surely, 2^49968600 is an apocalyptic number.

49968600 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 49968600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86512320).

49968600 is an abundant number, since it is smaller than the sum of its proper divisors (123056040).

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

49968600 is a wasteful number, since it uses less digits than its factorization.

49968600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 49968600 is about 7068.8471478735. The cubic root of 49968600 is about 368.3260146554.

The spelling of 49968600 in words is "forty-nine million, nine hundred sixty-eight thousand, six hundred".