1006761372 has 24 divisors (see below), whose sum is σ = 2354547216. Its totient is φ = 334810368.

The previous prime is 1006761319. The next prime is 1006761383. The reversal of 1006761372 is 2731676001.

1006761372 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 91683 + ... + 102074.

It is an arithmetic number, because the mean of its divisors is an integer number (98106134).

Almost surely, 2^1006761372 is an apocalyptic number.

1006761372 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1006761372 is an abundant number, since it is smaller than the sum of its proper divisors (1347785844).

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

1006761372 is a wasteful number, since it uses less digits than its factorization.

1006761372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194197 (or 194195 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 33.

The square root of 1006761372 is about 31729.5031792179. The cubic root of 1006761372 is about 1002.2487300892.

The spelling of 1006761372 in words is "one billion, six million, seven hundred sixty-one thousand, three hundred seventy-two".