1066765920 has 192 divisors, whose sum is σ = 3683957760. Its totient is φ = 257331200.

The previous prime is 1066765919. The next prime is 1066765933. The reversal of 1066765920 is 295676601.

It is a super-2 number, since 2×1066765920² = 2275979056146892800, 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 31 ways as a sum of consecutive naturals, for example, 1483321 + ... + 1484039.

It is an arithmetic number, because the mean of its divisors is an integer number (19187280).

Almost surely, 2^1066765920 is an apocalyptic number.

1066765920 is a gapful number since it is divisible by the number (10) 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 1066765920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1841978880).

1066765920 is an abundant number, since it is smaller than the sum of its proper divisors (2617191840).

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

1066765920 is a wasteful number, since it uses less digits than its factorization.

1066765920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1029 (or 1021 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The square root of 1066765920 is about 32661.3827019004. The cubic root of 1066765920 is about 1021.7776000275. Note that the first 3 decimals are identical.

The spelling of 1066765920 in words is "one billion, sixty-six million, seven hundred sixty-five thousand, nine hundred twenty".