85437352 has 128 divisors (see below), whose sum is σ = 220631040. Its totient is φ = 29940480.

The previous prime is 85437349. The next prime is 85437377. The reversal of 85437352 is 25373458.

It is a super-2 number, since 2×85437352² = 14599082233543808, which contains 22 as substring.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

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, 376263 + ... + 376489.

It is an arithmetic number, because the mean of its divisors is an integer number (1723680).

Almost surely, 2^85437352 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 85437352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110315520).

85437352 is an abundant number, since it is smaller than the sum of its proper divisors (135193688).

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

85437352 is a wasteful number, since it uses less digits than its factorization.

85437352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 307 counting only the distinct ones).

The product of its digits is 100800, while the sum is 37.

The square root of 85437352 is about 9243.2327678145. The cubic root of 85437352 is about 440.4357803775.

The spelling of 85437352 in words is "eighty-five million, four hundred thirty-seven thousand, three hundred fifty-two".