66036816 has 80 divisors (see below), whose sum is σ = 192309120. Its totient is φ = 21692160.

The previous prime is 66036809. The next prime is 66036821. The reversal of 66036816 is 61863066.

It is a super-2 number, since 2×66036816² = 8721722134835712, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 15 ways as a sum of consecutive naturals, for example, 29596 + ... + 31748.

It is an arithmetic number, because the mean of its divisors is an integer number (2403864).

Almost surely, 2^66036816 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 66036816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96154560).

66036816 is an abundant number, since it is smaller than the sum of its proper divisors (126272304).

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

66036816 is a wasteful number, since it uses less digits than its factorization.

66036816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2241 (or 2229 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 66036816 is about 8126.3039569044. The cubic root of 66036816 is about 404.1991306666.

The spelling of 66036816 in words is "sixty-six million, thirty-six thousand, eight hundred sixteen".