85746408 has 48 divisors (see below), whose sum is σ = 235633440. Its totient is φ = 25982880.

The previous prime is 85746389. The next prime is 85746413. The reversal of 85746408 is 80464758.

It is a zygodrome in base 11.

It is a self number, because there is not a number n which added to its sum of digits gives 85746408.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11860 + ... + 17667.

It is an arithmetic number, because the mean of its divisors is an integer number (4909030).

Almost surely, 2^85746408 is an apocalyptic number.

85746408 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

85746408 is an abundant number, since it is smaller than the sum of its proper divisors (149887032).

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

85746408 is a wasteful number, since it uses less digits than its factorization.

85746408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29558 (or 29543 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The square root of 85746408 is about 9259.9356369253. The cubic root of 85746408 is about 440.9662100488.

The spelling of 85746408 in words is "eighty-five million, seven hundred forty-six thousand, four hundred eight".