85783464 has 96 divisors (see below), whose sum is σ = 257067720. Its totient is φ = 25671168.

The previous prime is 85783457. The next prime is 85783469. The reversal of 85783464 is 46438758.

It can be written as a sum of positive squares in 4 ways, for example, as 75168900 + 10614564 = 8670^2 + 3258^2 .

It is not an unprimeable number, because it can be changed into a prime (85783469) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33394 + ... + 35870.

Almost surely, 2^85783464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85783464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128533860).

85783464 is an abundant number, since it is smaller than the sum of its proper divisors (171284256).

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

85783464 is a wasteful number, since it uses less digits than its factorization.

85783464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2539 (or 2532 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 85783464 is about 9261.9362986365. The cubic root of 85783464 is about 441.0297232654.

The spelling of 85783464 in words is "eighty-five million, seven hundred eighty-three thousand, four hundred sixty-four".