85347240 has 256 divisors, whose sum is σ = 304819200. Its totient is φ = 18892800.

The previous prime is 85347209. The next prime is 85347277. The reversal of 85347240 is 4274358.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1028239 + ... + 1028321.

It is an arithmetic number, because the mean of its divisors is an integer number (1190700).

Almost surely, 2^85347240 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 85347240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152409600).

85347240 is an abundant number, since it is smaller than the sum of its proper divisors (219471960).

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

85347240 is a wasteful number, since it uses less digits than its factorization.

85347240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 85347240 is about 9238.3569967825. The cubic root of 85347240 is about 440.2808812627.

The spelling of 85347240 in words is "eighty-five million, three hundred forty-seven thousand, two hundred forty".