85874040 has 256 divisors, whose sum is σ = 337075200. Its totient is φ = 19035648.

The previous prime is 85873961. The next prime is 85874051. The reversal of 85874040 is 4047858.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 85873986 and 85874004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 279567 + ... + 279873.

It is an arithmetic number, because the mean of its divisors is an integer number (1316700).

Almost surely, 2^85874040 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 85874040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168537600).

85874040 is an abundant number, since it is smaller than the sum of its proper divisors (251201160).

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

85874040 is a wasteful number, since it uses less digits than its factorization.

85874040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 85874040 is about 9266.8246988923. The cubic root of 85874040 is about 441.1848916981.

The spelling of 85874040 in words is "eighty-five million, eight hundred seventy-four thousand, forty".