48768680 has 64 divisors (see below), whose sum is σ = 113762880. Its totient is φ = 18803200.

The previous prime is 48768677. The next prime is 48768683. The reversal of 48768680 is 8686784.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (48768677) and next prime (48768683).

It is not an unprimeable number, because it can be changed into a prime (48768683) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 214727 + ... + 214953.

It is an arithmetic number, because the mean of its divisors is an integer number (1777545).

Almost surely, 2^48768680 is an apocalyptic number.

48768680 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 48768680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56881440).

48768680 is an abundant number, since it is smaller than the sum of its proper divisors (64994200).

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

48768680 is a wasteful number, since it uses less digits than its factorization.

48768680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 47.

The square root of 48768680 is about 6983.4575963487. The cubic root of 48768680 is about 365.3538321506.

The spelling of 48768680 in words is "forty-eight million, seven hundred sixty-eight thousand, six hundred eighty".