85392440 has 64 divisors (see below), whose sum is σ = 221045760. Its totient is φ = 29082240.

The previous prime is 85392431. The next prime is 85392449. The reversal of 85392440 is 4429358.

It is an interprime number because it is at equal distance from previous prime (85392431) and next prime (85392449).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 85392440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85392449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44705 + ... + 46575.

It is an arithmetic number, because the mean of its divisors is an integer number (3453840).

Almost surely, 2^85392440 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 85392440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110522880).

85392440 is an abundant number, since it is smaller than the sum of its proper divisors (135653320).

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

85392440 is a wasteful number, since it uses less digits than its factorization.

85392440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2052 (or 2048 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The square root of 85392440 is about 9240.8029954112. The cubic root of 85392440 is about 440.3585919722.

The spelling of 85392440 in words is "eighty-five million, three hundred ninety-two thousand, four hundred forty".