83062720 has 112 divisors (see below), whose sum is σ = 218651328. Its totient is φ = 29859840.

The previous prime is 83062717. The next prime is 83062741. The reversal of 83062720 is 2726038.

It is a congruent number.

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, 170317 + ... + 170803.

It is an arithmetic number, because the mean of its divisors is an integer number (1952244).

Almost surely, 2^83062720 is an apocalyptic number.

83062720 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 83062720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109325664).

83062720 is an abundant number, since it is smaller than the sum of its proper divisors (135588608).

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

83062720 is a wasteful number, since it uses less digits than its factorization.

83062720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 83062720 is about 9113.8751362963. The cubic root of 83062720 is about 436.3169146104.

Adding to 83062720 its reverse (2726038), we get a palindrome (85788758).

It can be divided in two parts, 8306 and 2720, that added together give a triangular number (11026 = T₁₄₈).

The spelling of 83062720 in words is "eighty-three million, sixty-two thousand, seven hundred twenty".