48181680 has 60 divisors (see below), whose sum is σ = 161812560. Its totient is φ = 12848256.

The previous prime is 48181633. The next prime is 48181687. The reversal of 48181680 is 8618184.

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 not an unprimeable number, because it can be changed into a prime (48181687) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32740 + ... + 34179.

It is an arithmetic number, because the mean of its divisors is an integer number (2696876).

Almost surely, 2^48181680 is an apocalyptic number.

48181680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48181680 is an abundant number, since it is smaller than the sum of its proper divisors (113630880).

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

48181680 is a wasteful number, since it uses less digits than its factorization.

48181680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66938 (or 66929 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 48181680 is about 6941.3024714386. The cubic root of 48181680 is about 363.8820613766.

The spelling of 48181680 in words is "forty-eight million, one hundred eighty-one thousand, six hundred eighty".