48104064 has 128 divisors (see below), whose sum is σ = 146880000. Its totient is φ = 15482880.

The previous prime is 48104059. The next prime is 48104087. The reversal of 48104064 is 46040184.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×48104064³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106912 + ... + 107360.

It is an arithmetic number, because the mean of its divisors is an integer number (1147500).

Almost surely, 2^48104064 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 48104064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73440000).

48104064 is an abundant number, since it is smaller than the sum of its proper divisors (98775936).

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

48104064 is a wasteful number, since it uses less digits than its factorization.

48104064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 48104064 is about 6935.7093364702. The cubic root of 48104064 is about 363.6865634939.

The spelling of 48104064 in words is "forty-eight million, one hundred four thousand, sixty-four".