85829440 has 56 divisors (see below), whose sum is σ = 207779112. Its totient is φ = 33761280.

The previous prime is 85829437. The next prime is 85829449. The reversal of 85829440 is 4492858.

It can be written as a sum of positive squares in 4 ways, for example, as 7744 + 85821696 = 88^2 + 9264^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 85829393 and 85829402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85829449) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17322 + ... + 21718.

Almost surely, 2^85829440 is an apocalyptic number.

85829440 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85829440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103889556).

85829440 is an abundant number, since it is smaller than the sum of its proper divisors (121949672).

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

85829440 is a wasteful number, since it uses less digits than its factorization.

85829440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4475 (or 4465 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 40.

The square root of 85829440 is about 9264.4179525753. The cubic root of 85829440 is about 441.1084997577.

The spelling of 85829440 in words is "eighty-five million, eight hundred twenty-nine thousand, four hundred forty".