85911840 has 240 divisors, whose sum is σ = 346876992. Its totient is φ = 19616256.

The previous prime is 85911809. The next prime is 85911841. The reversal of 85911840 is 4811958.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 85911795 and 85911804.

It is not an unprimeable number, because it can be changed into a prime (85911841) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 90247 + ... + 91193.

Almost surely, 2^85911840 is an apocalyptic number.

85911840 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 85911840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173438496).

85911840 is an abundant number, since it is smaller than the sum of its proper divisors (260965152).

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

85911840 is a wasteful number, since it uses less digits than its factorization.

85911840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 981 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 85911840 is about 9268.8640080649. The cubic root of 85911840 is about 441.2496157310.

It can be divided in two parts, 85 and 911840, that added together give a triangular number (911925 = T₁₃₅₀).

The spelling of 85911840 in words is "eighty-five million, nine hundred eleven thousand, eight hundred forty".