85787046 has 48 divisors (see below), whose sum is σ = 197542800. Its totient is φ = 27595008.

The previous prime is 85787041. The next prime is 85787069. The reversal of 85787046 is 64078758.

85787046 is a `hidden beast` number, since 8 + 578 + 70 + 4 + 6 = 666.

It is a super-2 number, since 2×85787046² = 14718834522812232, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 85786992 and 85787010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85787041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44470 + ... + 46358.

It is an arithmetic number, because the mean of its divisors is an integer number (4115475).

Almost surely, 2^85787046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85787046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98771400).

85787046 is an abundant number, since it is smaller than the sum of its proper divisors (111755754).

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

85787046 is a wasteful number, since it uses less digits than its factorization.

85787046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1958 (or 1923 counting only the distinct ones).

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

The square root of 85787046 is about 9262.1296687101. The cubic root of 85787046 is about 441.0358617697.

The spelling of 85787046 in words is "eighty-five million, seven hundred eighty-seven thousand, forty-six".