1006772180 has 36 divisors (see below), whose sum is σ = 2131682868. Its totient is φ = 399409920.

The previous prime is 1006772177. The next prime is 1006772203. The reversal of 1006772180 is 812776001.

It can be written as a sum of positive squares in 2 ways, for example, as 108451396 + 898320784 = 10414^2 + 29972^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 321020 + ... + 324140.

It is an arithmetic number, because the mean of its divisors is an integer number (59213413).

Almost surely, 2^1006772180 is an apocalyptic number.

1006772180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1006772180 is an abundant number, since it is smaller than the sum of its proper divisors (1124910688).

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

1006772180 is a wasteful number, since it uses less digits than its factorization.

1006772180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3384 (or 3255 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 32.

The square root of 1006772180 is about 31729.6734934351. The cubic root of 1006772180 is about 1002.2523165947.

The spelling of 1006772180 in words is "one billion, six million, seven hundred seventy-two thousand, one hundred eighty".