48361680 has 60 divisors (see below), whose sum is σ = 162417060. Its totient is φ = 12896256.

The previous prime is 48361679. The next prime is 48361699. The reversal of 48361680 is 8616384.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 13220496 + 35141184 = 3636^2 + 5928^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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 polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32865 + ... + 34304.

It is an arithmetic number, because the mean of its divisors is an integer number (2706951).

Almost surely, 2^48361680 is an apocalyptic number.

48361680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48361680 is an abundant number, since it is smaller than the sum of its proper divisors (114055380).

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

48361680 is a wasteful number, since it uses less digits than its factorization.

48361680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67188 (or 67179 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 48361680 is about 6954.2562506712. The cubic root of 48361680 is about 364.3346357103.

The spelling of 48361680 in words is "forty-eight million, three hundred sixty-one thousand, six hundred eighty".