85151640 has 256 divisors, whose sum is σ = 317260800. Its totient is φ = 17842176.

The previous prime is 85151621. The next prime is 85151641. The reversal of 85151640 is 4615158.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 85151598 and 85151607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85151641) by changing a digit.

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, 956716 + ... + 956804.

It is an arithmetic number, because the mean of its divisors is an integer number (1239300).

Almost surely, 2^85151640 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 85151640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158630400).

85151640 is an abundant number, since it is smaller than the sum of its proper divisors (232109160).

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

85151640 is a wasteful number, since it uses less digits than its factorization.

85151640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

The square root of 85151640 is about 9227.7646263870. The cubic root of 85151640 is about 439.9442766898.

Adding to 85151640 its reverse (4615158), we get a palindrome (89766798).

The spelling of 85151640 in words is "eighty-five million, one hundred fifty-one thousand, six hundred forty".