48632616 has 64 divisors (see below), whose sum is σ = 137342400. Its totient is φ = 15940800.

The previous prime is 48632593. The next prime is 48632621. The reversal of 48632616 is 61623684.

48632616 is a `hidden beast` number, since 4 + 8 + 6 + 32 + 616 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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, 11331 + ... + 15021.

It is an arithmetic number, because the mean of its divisors is an integer number (2145975).

Almost surely, 2^48632616 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 48632616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68671200).

48632616 is an abundant number, since it is smaller than the sum of its proper divisors (88709784).

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

48632616 is a wasteful number, since it uses less digits than its factorization.

48632616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3767 (or 3757 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 48632616 is about 6973.7089127666. The cubic root of 48632616 is about 365.0137381456.

The spelling of 48632616 in words is "forty-eight million, six hundred thirty-two thousand, six hundred sixteen".