49776120 has 128 divisors (see below), whose sum is σ = 168264000. Its totient is φ = 13250304.

The previous prime is 49776113. The next prime is 49776157. The reversal of 49776120 is 2167794.

It is a happy number.

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

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, 87196 + ... + 87764.

Almost surely, 2^49776120 is an apocalyptic number.

49776120 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 49776120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84132000).

49776120 is an abundant number, since it is smaller than the sum of its proper divisors (118487880).

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

49776120 is an equidigital number, since it uses as much as digits as its factorization.

49776120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 49776120 is about 7055.2193445704. The cubic root of 49776120 is about 367.8524731598.

The spelling of 49776120 in words is "forty-nine million, seven hundred seventy-six thousand, one hundred twenty".