48680736 has 96 divisors (see below), whose sum is σ = 144930240. Its totient is φ = 14183424.

The previous prime is 48680701. The next prime is 48680771. The reversal of 48680736 is 63708684.

48680736 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (48680701) and next prime (48680771).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22686 + ... + 24738.

It is an arithmetic number, because the mean of its divisors is an integer number (1509690).

Almost surely, 2^48680736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48680736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72465120).

48680736 is an abundant number, since it is smaller than the sum of its proper divisors (96249504).

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

48680736 is a wasteful number, since it uses less digits than its factorization.

48680736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2098 (or 2090 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 48680736 is about 6977.1581607414. The cubic root of 48680736 is about 365.1340872213.

It can be divided in two parts, 486 and 80736, that multiplied together give a square (39237696 = 6264²).

The spelling of 48680736 in words is "forty-eight million, six hundred eighty thousand, seven hundred thirty-six".