85760136 has 192 divisors, whose sum is σ = 299520000. Its totient is φ = 21513600.

The previous prime is 85760111. The next prime is 85760137. The reversal of 85760136 is 63106758.

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

It is a self number, because there is not a number n which added to its sum of digits gives 85760136.

It is not an unprimeable number, because it can be changed into a prime (85760137) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 171615 + ... + 172113.

It is an arithmetic number, because the mean of its divisors is an integer number (1560000).

Almost surely, 2^85760136 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 85760136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149760000).

85760136 is an abundant number, since it is smaller than the sum of its proper divisors (213759864).

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

85760136 is a wasteful number, since it uses less digits than its factorization.

85760136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 85760136 is about 9260.6768651109. The cubic root of 85760136 is about 440.9897416899.

The spelling of 85760136 in words is "eighty-five million, seven hundred sixty thousand, one hundred thirty-six".