66807936 has 128 divisors (see below), whose sum is σ = 212486400. Its totient is φ = 20542464.

The previous prime is 66807919. The next prime is 66807941. The reversal of 66807936 is 63970866.

66807936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 66807891 and 66807900.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44185 + ... + 45671.

It is an arithmetic number, because the mean of its divisors is an integer number (1660050).

Almost surely, 2^66807936 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 66807936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106243200).

66807936 is an abundant number, since it is smaller than the sum of its proper divisors (145678464).

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

66807936 is a wasteful number, since it uses less digits than its factorization.

66807936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1523 (or 1505 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 66807936 is about 8173.6121757764. The cubic root of 66807936 is about 405.7663405120.

The spelling of 66807936 in words is "sixty-six million, eight hundred seven thousand, nine hundred thirty-six".