66124896 has 48 divisors (see below), whose sum is σ = 175795200. Its totient is φ = 21760128.

The previous prime is 66124879. The next prime is 66124907. The reversal of 66124896 is 69842166.

It is a tau number, because it is divible by the number of its divisors (48).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3225 + ... + 11943.

It is an arithmetic number, because the mean of its divisors is an integer number (3662400).

Almost surely, 2^66124896 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 66124896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87897600).

66124896 is an abundant number, since it is smaller than the sum of its proper divisors (109670304).

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

66124896 is a wasteful number, since it uses less digits than its factorization.

66124896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8811 (or 8803 counting only the distinct ones).

The product of its digits is 124416, while the sum is 42.

The square root of 66124896 is about 8131.7215889380. The cubic root of 66124896 is about 404.3787579548.

The spelling of 66124896 in words is "sixty-six million, one hundred twenty-four thousand, eight hundred ninety-six".