66436224 has 64 divisors (see below), whose sum is σ = 182196480. Its totient is φ = 21427200.

The previous prime is 66436211. The next prime is 66436243. The reversal of 66436224 is 42263466.

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

It is a nude number because it is divisible by every one of its digits.

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, 9114 + ... + 14694.

It is an arithmetic number, because the mean of its divisors is an integer number (2846820).

Almost surely, 2^66436224 is an apocalyptic number.

66436224 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 66436224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91098240).

66436224 is an abundant number, since it is smaller than the sum of its proper divisors (115760256).

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

66436224 is a wasteful number, since it uses less digits than its factorization.

66436224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5629 (or 5617 counting only the distinct ones).

The product of its digits is 41472, while the sum is 33.

The square root of 66436224 is about 8150.8419197038. The cubic root of 66436224 is about 405.0123940728.

The spelling of 66436224 in words is "sixty-six million, four hundred thirty-six thousand, two hundred twenty-four".