85437744 has 40 divisors (see below), whose sum is σ = 252245760. Its totient is φ = 24410688.

The previous prime is 85437743. The next prime is 85437757. The reversal of 85437744 is 44773458.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 85437696 and 85437705.

It is not an unprimeable number, because it can be changed into a prime (85437743) 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 7 ways as a sum of consecutive naturals, for example, 126804 + ... + 127475.

It is an arithmetic number, because the mean of its divisors is an integer number (6306144).

Almost surely, 2^85437744 is an apocalyptic number.

85437744 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

85437744 is an abundant number, since it is smaller than the sum of its proper divisors (166808016).

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

85437744 is a wasteful number, since it uses less digits than its factorization.

85437744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254297 (or 254291 counting only the distinct ones).

The product of its digits is 376320, while the sum is 42.

The square root of 85437744 is about 9243.2539724926. The cubic root of 85437744 is about 440.4364539727.

The spelling of 85437744 in words is "eighty-five million, four hundred thirty-seven thousand, seven hundred forty-four".