85246416 has 60 divisors (see below), whose sum is σ = 240445920. Its totient is φ = 28192320.

The previous prime is 85246387. The next prime is 85246439. The reversal of 85246416 is 61464258.

85246416 is a `hidden beast` number, since 8 + 5 + 2 + 4 + 641 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16605 + ... + 21123.

It is an arithmetic number, because the mean of its divisors is an integer number (4007432).

Almost surely, 2^85246416 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 85246416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120222960).

85246416 is an abundant number, since it is smaller than the sum of its proper divisors (155199504).

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

85246416 is a wasteful number, since it uses less digits than its factorization.

85246416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4664 (or 4655 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 85246416 is about 9232.8985697884. The cubic root of 85246416 is about 440.1074393280.

The spelling of 85246416 in words is "eighty-five million, two hundred forty-six thousand, four hundred sixteen".