1049006772 has 72 divisors (see below), whose sum is σ = 2898360192. Its totient is φ = 317260800.

The previous prime is 1049006731. The next prime is 1049006773. The reversal of 1049006772 is 2776009401.

It is a happy number.

1049006772 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1049006772² = 2200830415403719968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1049006773) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 226197 + ... + 230787.

Almost surely, 2^1049006772 is an apocalyptic number.

1049006772 is a gapful number since it is divisible by the number (12) 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 1049006772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1449180096).

1049006772 is an abundant number, since it is smaller than the sum of its proper divisors (1849353420).

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

1049006772 is a wasteful number, since it uses less digits than its factorization.

1049006772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5189 (or 5184 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 1049006772 is about 32388.3740252579. The cubic root of 1049006772 is about 1016.0757752916.

The spelling of 1049006772 in words is "one billion, forty-nine million, six thousand, seven hundred seventy-two".