66903696 has 120 divisors (see below), whose sum is σ = 199388280. Its totient is φ = 20901888.

The previous prime is 66903691. The next prime is 66903709. The reversal of 66903696 is 69630966.

It can be written as a sum of positive squares in 4 ways, for example, as 10653696 + 56250000 = 3264^2 + 7500^2 .

It is a super-2 number, since 2×66903696² = 8952209076920832, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (66903691) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 154296 + ... + 154728.

It is an arithmetic number, because the mean of its divisors is an integer number (1661569).

Almost surely, 2^66903696 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 66903696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99694140).

66903696 is an abundant number, since it is smaller than the sum of its proper divisors (132484584).

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

66903696 is a wasteful number, since it uses less digits than its factorization.

66903696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 314928, while the sum is 45.

The square root of 66903696 is about 8179.4679533574. The cubic root of 66903696 is about 405.9601180623.

The spelling of 66903696 in words is "sixty-six million, nine hundred three thousand, six hundred ninety-six".