48082664 has 48 divisors (see below), whose sum is σ = 109488480. Its totient is φ = 19388160.

The previous prime is 48082651. The next prime is 48082687. The reversal of 48082664 is 46628084.

It is a happy number.

It is a super-3 number, since 3×48082664³ (a number of 24 digits) contains 333 as substring.

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, 14699 + ... + 17669.

It is an arithmetic number, because the mean of its divisors is an integer number (2281010).

Almost surely, 2^48082664 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 48082664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54744240).

48082664 is an abundant number, since it is smaller than the sum of its proper divisors (61405816).

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

48082664 is a wasteful number, since it uses less digits than its factorization.

48082664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3018 (or 2997 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 38.

The square root of 48082664 is about 6934.1664243080. The cubic root of 48082664 is about 363.6326245525.

The spelling of 48082664 in words is "forty-eight million, eighty-two thousand, six hundred sixty-four".