85296420 has 144 divisors (see below), whose sum is σ = 294682752. Its totient is φ = 19768320.

The previous prime is 85296389. The next prime is 85296457. The reversal of 85296420 is 2469258.

It is a happy number.

85296420 is a `hidden beast` number, since 8 + 5 + 2 + 9 + 642 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44604 + ... + 46476.

It is an arithmetic number, because the mean of its divisors is an integer number (2046408).

Almost surely, 2^85296420 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 85296420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147341376).

85296420 is an abundant number, since it is smaller than the sum of its proper divisors (209386332).

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

85296420 is a wasteful number, since it uses less digits than its factorization.

85296420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1922 (or 1917 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 85296420 is about 9235.6060981400. The cubic root of 85296420 is about 440.1934755191.

The spelling of 85296420 in words is "eighty-five million, two hundred ninety-six thousand, four hundred twenty".