85787640 has 64 divisors (see below), whose sum is σ = 285962400. Its totient is φ = 22876416.

The previous prime is 85787573. The next prime is 85787659. The reversal of 85787640 is 4678758.

85787640 is a `hidden beast` number, since 8 + 578 + 76 + 4 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 38637 + ... + 40796.

Almost surely, 2^85787640 is an apocalyptic number.

It is an amenable number.

85787640 is an abundant number, since it is smaller than the sum of its proper divisors (200174760).

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

85787640 is a wasteful number, since it uses less digits than its factorization.

85787640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79453 (or 79443 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 85787640 is about 9262.1617347140. The cubic root of 85787640 is about 441.0368796961.

The spelling of 85787640 in words is "eighty-five million, seven hundred eighty-seven thousand, six hundred forty".