1066779936 has 96 divisors (see below), whose sum is σ = 3211891200. Its totient is φ = 344113920.

The previous prime is 1066779913. The next prime is 1066779949. The reversal of 1066779936 is 6399776601.

1066779936 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 (96).

It is a super-2 number, since 2×1066779936² = 2276038863704328192, which contains 22 as substring.

It is a Smith number, since the sum of its digits (54) 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 (54).

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, 6870 + ... + 46698.

It is an arithmetic number, because the mean of its divisors is an integer number (33457200).

Almost surely, 2^1066779936 is an apocalyptic number.

1066779936 is a gapful number since it is divisible by the number (16) 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 1066779936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1605945600).

1066779936 is an abundant number, since it is smaller than the sum of its proper divisors (2145111264).

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

1066779936 is a wasteful number, since it uses less digits than its factorization.

1066779936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39879 (or 39865 counting only the distinct ones).

The product of its (nonzero) digits is 2571912, while the sum is 54.

The square root of 1066779936 is about 32661.5972665147. The cubic root of 1066779936 is about 1021.7820749774.

The spelling of 1066779936 in words is "one billion, sixty-six million, seven hundred seventy-nine thousand, nine hundred thirty-six".