85122240 has 224 divisors, whose sum is σ = 316016640. Its totient is φ = 19009536.

The previous prime is 85122239. The next prime is 85122251. The reversal of 85122240 is 4222158.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 85122240.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 356041 + ... + 356279.

Almost surely, 2^85122240 is an apocalyptic number.

85122240 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 85122240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158008320).

85122240 is an abundant number, since it is smaller than the sum of its proper divisors (230894400).

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

85122240 is a wasteful number, since it uses less digits than its factorization.

85122240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 85122240 is about 9226.1714703337. The cubic root of 85122240 is about 439.8936382029.

Adding to 85122240 its reverse (4222158), we get a palindrome (89344398).

The spelling of 85122240 in words is "eighty-five million, one hundred twenty-two thousand, two hundred forty".