85299840 has 192 divisors, whose sum is σ = 300736800. Its totient is φ = 22272000.

The previous prime is 85299839. The next prime is 85299857. The reversal of 85299840 is 4899258.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 339715 + ... + 339965.

Almost surely, 2^85299840 is an apocalyptic number.

85299840 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 85299840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150368400).

85299840 is an abundant number, since it is smaller than the sum of its proper divisors (215436960).

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

85299840 is a wasteful number, since it uses less digits than its factorization.

85299840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 85299840 is about 9235.7912492650. The cubic root of 85299840 is about 440.1993586951.

It can be divided in two parts, 85 and 299840, that added together give a triangular number (299925 = T₇₇₄).

The spelling of 85299840 in words is "eighty-five million, two hundred ninety-nine thousand, eight hundred forty".