85553468 has 96 divisors (see below), whose sum is σ = 209986560. Its totient is φ = 29399040.

The previous prime is 85553449. The next prime is 85553497. The reversal of 85553468 is 86435558.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 91628 + ... + 92556.

It is an arithmetic number, because the mean of its divisors is an integer number (2187360).

Almost surely, 2^85553468 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 85553468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104993280).

85553468 is an abundant number, since it is smaller than the sum of its proper divisors (124433092).

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

85553468 is a wasteful number, since it uses less digits than its factorization.

85553468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 987 (or 985 counting only the distinct ones).

The product of its digits is 576000, while the sum is 44.

The square root of 85553468 is about 9249.5117708990. The cubic root of 85553468 is about 440.6352188700.

The spelling of 85553468 in words is "eighty-five million, five hundred fifty-three thousand, four hundred sixty-eight".