85119552 has 224 divisors, whose sum is σ = 296509440. Its totient is φ = 23431680.

The previous prime is 85119539. The next prime is 85119581. The reversal of 85119552 is 25591158.

It is a happy number.

85119552 is a `hidden beast` number, since 8 + 511 + 95 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 374863 + ... + 375089.

Almost surely, 2^85119552 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 85119552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148254720).

85119552 is an abundant number, since it is smaller than the sum of its proper divisors (211389888).

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

85119552 is a wasteful number, since it uses less digits than its factorization.

85119552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 270 counting only the distinct ones).

The product of its digits is 18000, while the sum is 36.

The square root of 85119552 is about 9226.0257966255. The cubic root of 85119552 is about 439.8890078167.

The spelling of 85119552 in words is "eighty-five million, one hundred nineteen thousand, five hundred fifty-two".