85354620 has 192 divisors, whose sum is σ = 280941696. Its totient is φ = 19169280.

The previous prime is 85354609. The next prime is 85354667. The reversal of 85354620 is 2645358.

It is a super-2 number, since 2×85354620² = 14570822310688800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 543582 + ... + 543738.

It is an arithmetic number, because the mean of its divisors is an integer number (1463238).

Almost surely, 2^85354620 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 85354620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140470848).

85354620 is an abundant number, since it is smaller than the sum of its proper divisors (195587076).

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

85354620 is a wasteful number, since it uses less digits than its factorization.

85354620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 85354620 is about 9238.7564098205. The cubic root of 85354620 is about 440.2935713011.

Adding to 85354620 its reverse (2645358), we get a palindrome (87999978).

It can be divided in two parts, 8 and 5354620, that added together give a triangular number (5354628 = T₃₂₇₂).

The spelling of 85354620 in words is "eighty-five million, three hundred fifty-four thousand, six hundred twenty".