85476240 has 60 divisors (see below), whose sum is σ = 287060124. Its totient is φ = 22793472.

The previous prime is 85476233. The next prime is 85476241. The reversal of 85476240 is 4267458.

It can be written as a sum of positive squares in 2 ways, for example, as 14107536 + 71368704 = 3756^2 + 8448^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a junction number, because it is equal to n+sod(n) for n = 85476195 and 85476204.

It is not an unprimeable number, because it can be changed into a prime (85476241) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58639 + ... + 60078.

Almost surely, 2^85476240 is an apocalyptic number.

85476240 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85476240 is an abundant number, since it is smaller than the sum of its proper divisors (201583884).

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

85476240 is a wasteful number, since it uses less digits than its factorization.

85476240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118736 (or 118727 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 85476240 is about 9245.3361215264. The cubic root of 85476240 is about 440.5025937335.

The spelling of 85476240 in words is "eighty-five million, four hundred seventy-six thousand, two hundred forty".