48767680 has 112 divisors (see below), whose sum is σ = 131856480. Its totient is φ = 17031168.

The previous prime is 48767671. The next prime is 48767707. The reversal of 48767680 is 8676784.

It is a super-2 number, since 2×48767680² = 4756573225164800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 48767680.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78732 + ... + 79348.

It is an arithmetic number, because the mean of its divisors is an integer number (1177290).

Almost surely, 2^48767680 is an apocalyptic number.

48767680 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 48767680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65928240).

48767680 is an abundant number, since it is smaller than the sum of its proper divisors (83088800).

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

48767680 is a wasteful number, since it uses less digits than its factorization.

48767680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 46.

The square root of 48767680 is about 6983.3859982103. The cubic root of 48767680 is about 365.3513349445.

The spelling of 48767680 in words is "forty-eight million, seven hundred sixty-seven thousand, six hundred eighty".