85013280 has 192 divisors, whose sum is σ = 324777600. Its totient is φ = 20597760.

The previous prime is 85013263. The next prime is 85013293. The reversal of 85013280 is 8231058.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46626 + ... + 48414.

It is an arithmetic number, because the mean of its divisors is an integer number (1691550).

Almost surely, 2^85013280 is an apocalyptic number.

85013280 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 85013280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162388800).

85013280 is an abundant number, since it is smaller than the sum of its proper divisors (239764320).

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

85013280 is a wasteful number, since it uses less digits than its factorization.

85013280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1824 (or 1810 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 85013280 is about 9220.2646382845. The cubic root of 85013280 is about 439.7058640227.

It can be divided in two parts, 8501 and 3280, that added together give a triangular number (11781 = T₁₅₃).

The spelling of 85013280 in words is "eighty-five million, thirteen thousand, two hundred eighty".