672610393 has 32 divisors (see below), whose sum is σ = 883500800. Its totient is φ = 497259648.

The previous prime is 672610391. The next prime is 672610403. The reversal of 672610393 is 393016276.

It is not a de Polignac number, because 672610393 - 2¹ = 672610391 is a prime.

It is a super-2 number, since 2×672610393² = 904809481543228898, which contains 22 as substring.

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 672610393 = 73³ + 876³ = 657³ + 730³.

It is not an unprimeable number, because it can be changed into a prime (672610391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9213805 + ... + 9213877.

It is an arithmetic number, because the mean of its divisors is an integer number (27609400).

Almost surely, 2^672610393 is an apocalyptic number.

It is an amenable number.

672610393 is a deficient number, since it is larger than the sum of its proper divisors (210890407).

672610393 is an frugal number, since it uses more digits than its factorization.

672610393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 37.

The square root of 672610393 is about 25934.7333319624. The cubic root of 672610393 is about 876.1689488952.

It can be divided in two parts, 672 and 610393, that added together give a triangular number (611065 = T₁₁₀₅).

The spelling of 672610393 in words is "six hundred seventy-two million, six hundred ten thousand, three hundred ninety-three".