85786632 has 24 divisors (see below), whose sum is σ = 232338990. Its totient is φ = 28595520.

The previous prime is 85786627. The next prime is 85786633. The reversal of 85786632 is 23668758.

85786632 is a `hidden beast` number, since 8 + 5 + 7 + 8 + 6 + 632 = 666.

It can be written as a sum of positive squares in only one way, i.e., 85488516 + 298116 = 9246^2 + 546^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (85786633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 595669 + ... + 595812.

Almost surely, 2^85786632 is an apocalyptic number.

It is an amenable number.

85786632 is an abundant number, since it is smaller than the sum of its proper divisors (146552358).

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

85786632 is a wasteful number, since it uses less digits than its factorization.

85786632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1191493 (or 1191486 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 85786632 is about 9262.1073196115. The cubic root of 85786632 is about 441.0351523030.

The spelling of 85786632 in words is "eighty-five million, seven hundred eighty-six thousand, six hundred thirty-two".