83967840 has 480 divisors, whose sum is σ = 351267840. Its totient is φ = 18662400.

The previous prime is 83967827. The next prime is 83967853. The reversal of 83967840 is 4876938.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (83967827) and next prime (83967853).

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2708625 + ... + 2708655.

It is an arithmetic number, because the mean of its divisors is an integer number (731808).

Almost surely, 2^83967840 is an apocalyptic number.

83967840 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 83967840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175633920).

83967840 is an abundant number, since it is smaller than the sum of its proper divisors (267300000).

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

83967840 is a wasteful number, since it uses less digits than its factorization.

83967840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 83967840 is about 9163.3967501140. The cubic root of 83967840 is about 437.8960158483.

The spelling of 83967840 in words is "eighty-three million, nine hundred sixty-seven thousand, eight hundred forty".