85468140 has 72 divisors (see below), whose sum is σ = 260070720. Its totient is φ = 22719744.

The previous prime is 85468139. The next prime is 85468151. The reversal of 85468140 is 4186458.

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 = 85468095 and 85468104.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81741 + ... + 82779.

Almost surely, 2^85468140 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 85468140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130035360).

85468140 is an abundant number, since it is smaller than the sum of its proper divisors (174602580).

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

85468140 is a wasteful number, since it uses less digits than its factorization.

85468140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1511 (or 1506 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 85468140 is about 9244.8980524395. The cubic root of 85468140 is about 440.4886788190.

The spelling of 85468140 in words is "eighty-five million, four hundred sixty-eight thousand, one hundred forty".