83856240 has 360 divisors, whose sum is σ = 332562048. Its totient is φ = 18800640.

The previous prime is 83856239. The next prime is 83856247. The reversal of 83856240 is 4265838.

It is a tau number, because it is divible by the number of its divisors (360).

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 = 83856195 and 83856204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83856247) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2705025 + ... + 2705055.

Almost surely, 2^83856240 is an apocalyptic number.

83856240 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 83856240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166281024).

83856240 is an abundant number, since it is smaller than the sum of its proper divisors (248705808).

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

83856240 is a wasteful number, since it uses less digits than its factorization.

83856240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 83856240 is about 9157.3052804851. The cubic root of 83856240 is about 437.7019301852.

The spelling of 83856240 in words is "eighty-three million, eight hundred fifty-six thousand, two hundred forty".