85377744 has 60 divisors (see below), whose sum is σ = 244783812. Its totient is φ = 27763200.

The previous prime is 85377707. The next prime is 85377781. The reversal of 85377744 is 44777358.

85377744 is a `hidden beast` number, since 8 + 537 + 77 + 44 = 666.

It is an interprime number because it is at equal distance from previous prime (85377707) and next prime (85377781).

It can be written as a sum of positive squares in 2 ways, for example, as 4161600 + 81216144 = 2040^2 + 9012^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 85377744.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1327 + ... + 13134.

Almost surely, 2^85377744 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 85377744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122391906).

85377744 is an abundant number, since it is smaller than the sum of its proper divisors (159406068).

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

85377744 is a wasteful number, since it uses less digits than its factorization.

85377744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14516 (or 14507 counting only the distinct ones).

The product of its digits is 658560, while the sum is 45.

The square root of 85377744 is about 9240.0077922045. The cubic root of 85377744 is about 440.3333286852. Note that the first 4 decimals are identical.

The spelling of 85377744 in words is "eighty-five million, three hundred seventy-seven thousand, seven hundred forty-four".