1066953664 has 112 divisors (see below), whose sum is σ = 2566009600. Its totient is φ = 429981696.

The previous prime is 1066953659. The next prime is 1066953709. The reversal of 1066953664 is 4663596601.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×1066953664² = 2276780242246049792, which contains 22 as substring.

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, 1387072 + ... + 1387840.

It is an arithmetic number, because the mean of its divisors is an integer number (22910800).

Almost surely, 2^1066953664 is an apocalyptic number.

1066953664 is a gapful number since it is divisible by the number (14) 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 1066953664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1283004800).

1066953664 is an abundant number, since it is smaller than the sum of its proper divisors (1499055936).

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

1066953664 is a wasteful number, since it uses less digits than its factorization.

1066953664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 970 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 46.

The square root of 1066953664 is about 32664.2566730057. The cubic root of 1066953664 is about 1021.8375386255.

The spelling of 1066953664 in words is "one billion, sixty-six million, nine hundred fifty-three thousand, six hundred sixty-four".