66248064 has 128 divisors (see below), whose sum is σ = 202572000. Its totient is φ = 21288960.

The previous prime is 66248053. The next prime is 66248069. The reversal of 66248064 is 46084266.

It is a happy number.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66248069) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99894 + ... + 100554.

Almost surely, 2^66248064 is an apocalyptic number.

66248064 is a gapful number since it is divisible by the number (64) 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 66248064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101286000).

66248064 is an abundant number, since it is smaller than the sum of its proper divisors (136323936).

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

66248064 is a wasteful number, since it uses less digits than its factorization.

66248064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 713 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 66248064 is about 8139.2913696464. The cubic root of 66248064 is about 404.6296752022.

The spelling of 66248064 in words is "sixty-six million, two hundred forty-eight thousand, sixty-four".