8072649 has 32 divisors (see below), whose sum is σ = 13059200. Its totient is φ = 4898880.

The previous prime is 8072641. The next prime is 8072657. The reversal of 8072649 is 9462708.

8072649 is a `hidden beast` number, since 8 + 0 + 7 + 2 + 649 = 666.

It is an interprime number because it is at equal distance from previous prime (8072641) and next prime (8072657).

It is not a de Polignac number, because 8072649 - 2³ = 8072641 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8072641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38154 + ... + 38364.

It is an arithmetic number, because the mean of its divisors is an integer number (408100).

Almost surely, 2^8072649 is an apocalyptic number.

It is an amenable number.

8072649 is a deficient number, since it is larger than the sum of its proper divisors (4986551).

8072649 is a wasteful number, since it uses less digits than its factorization.

8072649 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 8072649 is about 2841.2407500949. The cubic root of 8072649 is about 200.6035849271.

The spelling of 8072649 in words is "eight million, seventy-two thousand, six hundred forty-nine".