85974840 has 192 divisors, whose sum is σ = 323294400. Its totient is φ = 19408896.

The previous prime is 85974799. The next prime is 85974841. The reversal of 85974840 is 4847958.

85974840 is a `hidden beast` number, since 85 + 97 + 484 + 0 = 666.

It is a super-2 number, since 2×85974840² = 14783346226051200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85974841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 274524 + ... + 274836.

It is an arithmetic number, because the mean of its divisors is an integer number (1683825).

Almost surely, 2^85974840 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 85974840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161647200).

85974840 is an abundant number, since it is smaller than the sum of its proper divisors (237319560).

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

85974840 is a wasteful number, since it uses less digits than its factorization.

85974840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 85974840 is about 9272.2618599779. The cubic root of 85974840 is about 441.3574469431.

The spelling of 85974840 in words is "eighty-five million, nine hundred seventy-four thousand, eight hundred forty".