85739040 has 192 divisors, whose sum is σ = 304819200. Its totient is φ = 22505472.

The previous prime is 85739023. The next prime is 85739047. The reversal of 85739040 is 4093758.

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

It is a junction number, because it is equal to n+sod(n) for n = 85738986 and 85739004.

It is not an unprimeable number, because it can be changed into a prime (85739047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 384369 + ... + 384591.

It is an arithmetic number, because the mean of its divisors is an integer number (1587600).

Almost surely, 2^85739040 is an apocalyptic number.

85739040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85739040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152409600).

85739040 is an abundant number, since it is smaller than the sum of its proper divisors (219080160).

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

85739040 is a wasteful number, since it uses less digits than its factorization.

85739040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 85739040 is about 9259.5377854405. The cubic root of 85739040 is about 440.9535792686.

The spelling of 85739040 in words is "eighty-five million, seven hundred thirty-nine thousand, forty".