85303152 has 160 divisors (see below), whose sum is σ = 276768000. Its totient is φ = 24917760.

The previous prime is 85303151. The next prime is 85303157. The reversal of 85303152 is 25130358.

It is a super-2 number, since 2×85303152² = 14553255482270208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85303151) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 137499 + ... + 138117.

It is an arithmetic number, because the mean of its divisors is an integer number (1729800).

Almost surely, 2^85303152 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 85303152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138384000).

85303152 is an abundant number, since it is smaller than the sum of its proper divisors (191464848).

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

85303152 is a wasteful number, since it uses less digits than its factorization.

85303152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 85303152 is about 9235.9705499747. The cubic root of 85303152 is about 440.2050559368.

The spelling of 85303152 in words is "eighty-five million, three hundred three thousand, one hundred fifty-two".