85573840 has 80 divisors (see below), whose sum is σ = 221771520. Its totient is φ = 30440960.

The previous prime is 85573837. The next prime is 85573861. The reversal of 85573840 is 4837558.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 85573793 and 85573802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40326 + ... + 42394.

It is an arithmetic number, because the mean of its divisors is an integer number (2772144).

Almost surely, 2^85573840 is an apocalyptic number.

85573840 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 85573840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110885760).

85573840 is an abundant number, since it is smaller than the sum of its proper divisors (136197680).

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

85573840 is a wasteful number, since it uses less digits than its factorization.

85573840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2140 (or 2134 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 40.

The square root of 85573840 is about 9250.6129526643. The cubic root of 85573840 is about 440.6701907945.

85573840 divided by its sum of digits (40) gives a triangular number (2139346 = T₂₀₆₈).

The spelling of 85573840 in words is "eighty-five million, five hundred seventy-three thousand, eight hundred forty".