85410624 has 112 divisors (see below), whose sum is σ = 256316480. Its totient is φ = 24883200.

The previous prime is 85410623. The next prime is 85410631. The reversal of 85410624 is 42601458.

It is a junction number, because it is equal to n+sod(n) for n = 85410591 and 85410600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85410623) 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, 46524 + ... + 48324.

It is an arithmetic number, because the mean of its divisors is an integer number (2288540).

Almost surely, 2^85410624 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 85410624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128158240).

85410624 is an abundant number, since it is smaller than the sum of its proper divisors (170905856).

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

85410624 is a wasteful number, since it uses less digits than its factorization.

85410624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1848 (or 1838 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 85410624 is about 9241.7868402166. The cubic root of 85410624 is about 440.3898473242.

The spelling of 85410624 in words is "eighty-five million, four hundred ten thousand, six hundred twenty-four".