49027680 has 288 divisors, whose sum is σ = 188776224. Its totient is φ = 11943936.

The previous prime is 49027679. The next prime is 49027717. The reversal of 49027680 is 8672094.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 505392 + ... + 505488.

It is an arithmetic number, because the mean of its divisors is an integer number (655473).

It is a vampire number, since it can be written as 6984 ⋅ 7020 (with its own digits).

Almost surely, 2^49027680 is an apocalyptic number.

49027680 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 49027680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94388112).

49027680 is an abundant number, since it is smaller than the sum of its proper divisors (139748544).

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

49027680 is a wasteful number, since it uses less digits than its factorization.

49027680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 49027680 is about 7001.9768637150. The cubic root of 49027680 is about 365.9994625093. Note that the first 3 decimals are identical.

The spelling of 49027680 in words is "forty-nine million, twenty-seven thousand, six hundred eighty".