49680000 has 320 divisors, whose sum is σ = 191188800. Its totient is φ = 12672000.

The previous prime is 49679999. The next prime is 49680017. The reversal of 49680000 is 8694.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2159989 + ... + 2160011.

It is an arithmetic number, because the mean of its divisors is an integer number (597465).

Almost surely, 2^49680000 is an apocalyptic number.

49680000 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 49680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95594400).

49680000 is an abundant number, since it is smaller than the sum of its proper divisors (141508800).

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

49680000 is an equidigital number, since it uses as much as digits as its factorization.

49680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 49680000 is about 7048.4040746824. The cubic root of 49680000 is about 367.6155405137.

Adding to 49680000 its reverse (8694), we get a palindrome (49688694).

The spelling of 49680000 in words is "forty-nine million, six hundred eighty thousand".