85770032 has 40 divisors (see below), whose sum is σ = 180269712. Its totient is φ = 39372800.

The previous prime is 85770001. The next prime is 85770043. The reversal of 85770032 is 23007758.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7307 + ... + 14997.

Almost surely, 2^85770032 is an apocalyptic number.

85770032 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85770032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90134856).

85770032 is an abundant number, since it is smaller than the sum of its proper divisors (94499680).

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

85770032 is a wasteful number, since it uses less digits than its factorization.

85770032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7757 (or 7751 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 32.

The square root of 85770032 is about 9261.2111518958. The cubic root of 85770032 is about 441.0067032093.

The spelling of 85770032 in words is "eighty-five million, seven hundred seventy thousand, thirty-two".