85364720 has 160 divisors (see below), whose sum is σ = 244270080. Its totient is φ = 27095040.

The previous prime is 85364711. The next prime is 85364723. The reversal of 85364720 is 2746358.

85364720 = T₁₉₆ + T₁₉₇ + ... + T₈₀₃.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85364723) 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, 755384 + ... + 755496.

It is an arithmetic number, because the mean of its divisors is an integer number (1526688).

Almost surely, 2^85364720 is an apocalyptic number.

85364720 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 85364720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122135040).

85364720 is an abundant number, since it is smaller than the sum of its proper divisors (158905360).

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

85364720 is a wasteful number, since it uses less digits than its factorization.

85364720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 85364720 is about 9239.3030040150. The cubic root of 85364720 is about 440.3109372413.

The spelling of 85364720 in words is "eighty-five million, three hundred sixty-four thousand, seven hundred twenty".