48200064 has 64 divisors (see below), whose sum is σ = 139682880. Its totient is φ = 14604800.

The previous prime is 48200063. The next prime is 48200069. The reversal of 48200064 is 46000284.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48200063) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1482 + ... + 9929.

It is an arithmetic number, because the mean of its divisors is an integer number (2182545).

Almost surely, 2^48200064 is an apocalyptic number.

48200064 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48200064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69841440).

48200064 is an abundant number, since it is smaller than the sum of its proper divisors (91482816).

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

48200064 is a wasteful number, since it uses less digits than its factorization.

48200064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11439 (or 11427 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 48200064 is about 6942.6265922920. The cubic root of 48200064 is about 363.9283359300.

The spelling of 48200064 in words is "forty-eight million, two hundred thousand, sixty-four".