1034072649 has 27 divisors (see below), whose sum is σ = 1554946887. Its totient is φ = 687645288.

The previous prime is 1034072647. The next prime is 1034072659. The reversal of 1034072649 is 9462704301.

The square root of 1034072649 is 32157.

It is a perfect power (a square), and thus also a powerful number.

1034072649 is a `hidden beast` number, since 1 + 0 + 3 + 4 + 0 + 7 + 2 + 649 = 666.

1034072649 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 693005625 + 341067024 = 26325^2 + 18468^2 .

It is a tau number, because it is divible by the number of its divisors (27).

It is not a de Polignac number, because 1034072649 - 2¹ = 1034072647 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1034072647) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2604519 + ... + 2604915.

Almost surely, 2^1034072649 is an apocalyptic number.

1034072649 is the 32157-th square number.

1034072649 is the 16079-th centered octagonal number.

It is an amenable number.

1034072649 is a deficient number, since it is larger than the sum of its proper divisors (520874238).

1034072649 is an frugal number, since it uses more digits than its factorization.

1034072649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The cubic root of 1034072649 is about 1011.2309433759.

Multiplying 1034072649 by its sum of digits (36), we get a square (37226615364 = 192942²).

The spelling of 1034072649 in words is "one billion, thirty-four million, seventy-two thousand, six hundred forty-nine".