85802640 has 160 divisors (see below), whose sum is σ = 331693056. Its totient is φ = 17825280.

The previous prime is 85802623. The next prime is 85802641. The reversal of 85802640 is 4620858.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (85802641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16159 + ... + 20801.

Almost surely, 2^85802640 is an apocalyptic number.

85802640 is a gapful number since it is divisible by the number (80) 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 85802640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165846528).

85802640 is an abundant number, since it is smaller than the sum of its proper divisors (245890416).

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

85802640 is a wasteful number, since it uses less digits than its factorization.

85802640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4677 (or 4671 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 85802640 is about 9262.9714454920. The cubic root of 85802640 is about 441.0625833509.

The spelling of 85802640 in words is "eighty-five million, eight hundred two thousand, six hundred forty".