85351840 has 48 divisors (see below), whose sum is σ = 230452992. Its totient is φ = 29263104.

The previous prime is 85351831. The next prime is 85351841. The reversal of 85351840 is 4815358.

It is a junction number, because it is equal to n+sod(n) for n = 85351796 and 85351805.

It is not an unprimeable number, because it can be changed into a prime (85351841) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36984 + ... + 39223.

It is an arithmetic number, because the mean of its divisors is an integer number (4801104).

Almost surely, 2^85351840 is an apocalyptic number.

85351840 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85351840 is an abundant number, since it is smaller than the sum of its proper divisors (145101152).

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

85351840 is a wasteful number, since it uses less digits than its factorization.

85351840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76229 (or 76221 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 34.

The square root of 85351840 is about 9238.6059554459. The cubic root of 85351840 is about 440.2887911286.

The spelling of 85351840 in words is "eighty-five million, three hundred fifty-one thousand, eight hundred forty".