85451940 has 72 divisors (see below), whose sum is σ = 296237760. Its totient is φ = 19531584.

The previous prime is 85451939. The next prime is 85451963. The reversal of 85451940 is 4915458.

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 = 85451895 and 85451904.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32650 + ... + 35169.

Almost surely, 2^85451940 is an apocalyptic number.

It is an amenable number.

85451940 is an abundant number, since it is smaller than the sum of its proper divisors (210785820).

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

85451940 is a wasteful number, since it uses less digits than its factorization.

85451940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67841 (or 67836 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 85451940 is about 9244.0218519863. The cubic root of 85451940 is about 440.4608463522.

The spelling of 85451940 in words is "eighty-five million, four hundred fifty-one thousand, nine hundred forty".