66436860 has 96 divisors (see below), whose sum is σ = 213696000. Its totient is φ = 15107328.

The previous prime is 66436837. The next prime is 66436861. The reversal of 66436860 is 6863466.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66436861) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 132891 + ... + 133389.

It is an arithmetic number, because the mean of its divisors is an integer number (2226000).

Almost surely, 2^66436860 is an apocalyptic number.

66436860 is a gapful number since it is divisible by the number (60) 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 66436860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106848000).

66436860 is an abundant number, since it is smaller than the sum of its proper divisors (147259140).

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

66436860 is a wasteful number, since it uses less digits than its factorization.

66436860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 835 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 39.

The square root of 66436860 is about 8150.8809339850. The cubic root of 66436860 is about 405.0136864754.

The spelling of 66436860 in words is "sixty-six million, four hundred thirty-six thousand, eight hundred sixty".