49837680 has 100 divisors (see below), whose sum is σ = 173116152. Its totient is φ = 13288320.

The previous prime is 49837679. The next prime is 49837681. The reversal of 49837680 is 8673894.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (49837679) and next prime (49837681).

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 (49837681) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2635 + ... + 10325.

Almost surely, 2^49837680 is an apocalyptic number.

49837680 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 49837680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86558076).

49837680 is an abundant number, since it is smaller than the sum of its proper divisors (123278472).

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

49837680 is a wasteful number, since it uses less digits than its factorization.

49837680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7716 (or 7701 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 49837680 is about 7059.5807240940. The cubic root of 49837680 is about 368.0040563510.

The spelling of 49837680 in words is "forty-nine million, eight hundred thirty-seven thousand, six hundred eighty".