85642460 has 48 divisors (see below), whose sum is σ = 189665280. Its totient is φ = 32435520.

The previous prime is 85642451. The next prime is 85642477. The reversal of 85642460 is 6424658.

It is a self number, because there is not a number n which added to its sum of digits gives 85642460.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27671 + ... + 30609.

It is an arithmetic number, because the mean of its divisors is an integer number (3951360).

Almost surely, 2^85642460 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 85642460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94832640).

85642460 is an abundant number, since it is smaller than the sum of its proper divisors (104022820).

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

85642460 is a wasteful number, since it uses less digits than its factorization.

85642460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3026 (or 3024 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 35.

The square root of 85642460 is about 9254.3211528453. The cubic root of 85642460 is about 440.7879476131.

The spelling of 85642460 in words is "eighty-five million, six hundred forty-two thousand, four hundred sixty".