48672585 has 96 divisors (see below), whose sum is σ = 99590400. Its totient is φ = 21772800.

The previous prime is 48672583. The next prime is 48672647. The reversal of 48672585 is 58527684.

48672585 is a `hidden beast` number, since 4 + 8 + 67 + 2 + 585 = 666.

It is not a de Polignac number, because 48672585 - 2¹ = 48672583 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 48672585.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48672583) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 322260 + ... + 322410.

It is an arithmetic number, because the mean of its divisors is an integer number (1037400).

Almost surely, 2^48672585 is an apocalyptic number.

48672585 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

48672585 is an abundant number, since it is smaller than the sum of its proper divisors (50917815).

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

48672585 is a wasteful number, since it uses less digits than its factorization.

48672585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 220 counting only the distinct ones).

The product of its digits is 537600, while the sum is 45.

The square root of 48672585 is about 6976.5740159479. The cubic root of 48672585 is about 365.1137069894.

The spelling of 48672585 in words is "forty-eight million, six hundred seventy-two thousand, five hundred eighty-five".