85354456 has 48 divisors (see below), whose sum is σ = 179260920. Its totient is φ = 37785600.

The previous prime is 85354429. The next prime is 85354459. The reversal of 85354456 is 65445358.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85354459) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 147640 + ... + 148216.

Almost surely, 2^85354456 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 85354456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89630460).

85354456 is an abundant number, since it is smaller than the sum of its proper divisors (93906464).

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

85354456 is a wasteful number, since it uses less digits than its factorization.

85354456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676 (or 631 counting only the distinct ones).

The product of its digits is 288000, while the sum is 40.

The square root of 85354456 is about 9238.7475341628. The cubic root of 85354456 is about 440.2932893082.

The spelling of 85354456 in words is "eighty-five million, three hundred fifty-four thousand, four hundred fifty-six".