83246940 has 144 divisors (see below), whose sum is σ = 299400192. Its totient is φ = 19020096.

The previous prime is 83246921. The next prime is 83246957. The reversal of 83246940 is 4964238.

It is a happy number.

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 = 83246895 and 83246904.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32797 + ... + 35243.

It is an arithmetic number, because the mean of its divisors is an integer number (2079168).

Almost surely, 2^83246940 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83246940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149700096).

83246940 is an abundant number, since it is smaller than the sum of its proper divisors (216153252).

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

83246940 is a wasteful number, since it uses less digits than its factorization.

83246940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2478 (or 2464 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 83246940 is about 9123.9761069393. The cubic root of 83246940 is about 436.6392371196.

The spelling of 83246940 in words is "eighty-three million, two hundred forty-six thousand, nine hundred forty".