83362720 has 144 divisors (see below), whose sum is σ = 237178368. Its totient is φ = 27659520.

The previous prime is 83362711. The next prime is 83362753. The reversal of 83362720 is 2726338.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2689105 + ... + 2689135.

It is an arithmetic number, because the mean of its divisors is an integer number (1647072).

Almost surely, 2^83362720 is an apocalyptic number.

83362720 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 83362720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118589184).

83362720 is an abundant number, since it is smaller than the sum of its proper divisors (153815648).

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

83362720 is an frugal number, since it uses more digits than its factorization.

83362720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 31.

The square root of 83362720 is about 9130.3187239001. The cubic root of 83362720 is about 436.8415695700.

The spelling of 83362720 in words is "eighty-three million, three hundred sixty-two thousand, seven hundred twenty".