86033840 has 80 divisors (see below), whose sum is σ = 206826048. Its totient is φ = 33266688.

The previous prime is 86033839. The next prime is 86033861. The reversal of 86033840 is 4833068.

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

It is a junction number, because it is equal to n+sod(n) for n = 86033797 and 86033806.

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, 436622 + ... + 436818.

Almost surely, 2^86033840 is an apocalyptic number.

86033840 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 86033840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103413024).

86033840 is an abundant number, since it is smaller than the sum of its proper divisors (120792208).

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

86033840 is a wasteful number, since it uses less digits than its factorization.

86033840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 86033840 is about 9275.4428465707. The cubic root of 86033840 is about 441.4583839731.

The spelling of 86033840 in words is "eighty-six million, thirty-three thousand, eight hundred forty".