85633380 has 288 divisors, whose sum is σ = 323232000. Its totient is φ = 18289152.

The previous prime is 85633363. The next prime is 85633381. The reversal of 85633380 is 8333658.

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

It is not an unprimeable number, because it can be changed into a prime (85633381) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1173024 + ... + 1173096.

Almost surely, 2^85633380 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 85633380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161616000).

85633380 is an abundant number, since it is smaller than the sum of its proper divisors (237598620).

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

85633380 is a wasteful number, since it uses less digits than its factorization.

85633380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 85633380 is about 9253.8305582067. The cubic root of 85633380 is about 440.7723692967.

The spelling of 85633380 in words is "eighty-five million, six hundred thirty-three thousand, three hundred eighty".