66253824 has 264 divisors, whose sum is σ = 238434560. Its totient is φ = 17252352.

The previous prime is 66253819. The next prime is 66253849. The reversal of 66253824 is 42835266.

66253824 is a `hidden beast` number, since 6 + 625 + 3 + 8 + 24 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 838617 + ... + 838695.

Almost surely, 2^66253824 is an apocalyptic number.

66253824 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 66253824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119217280).

66253824 is an abundant number, since it is smaller than the sum of its proper divisors (172180736).

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

66253824 is a wasteful number, since it uses less digits than its factorization.

66253824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 104 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 66253824 is about 8139.6452011129. The cubic root of 66253824 is about 404.6414018311.

The spelling of 66253824 in words is "sixty-six million, two hundred fifty-three thousand, eight hundred twenty-four".