83920720 has 160 divisors (see below), whose sum is σ = 229985280. Its totient is φ = 28200960.

The previous prime is 83920717. The next prime is 83920723. The reversal of 83920720 is 2702938.

It is an interprime number because it is at equal distance from previous prime (83920717) and next prime (83920723).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83920723) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 612492 + ... + 612628.

It is an arithmetic number, because the mean of its divisors is an integer number (1437408).

Almost surely, 2^83920720 is an apocalyptic number.

83920720 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 83920720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114992640).

83920720 is an abundant number, since it is smaller than the sum of its proper divisors (146064560).

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

83920720 is a wasteful number, since it uses less digits than its factorization.

83920720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 83920720 is about 9160.8252903327. The cubic root of 83920720 is about 437.8140895572.

The spelling of 83920720 in words is "eighty-three million, nine hundred twenty thousand, seven hundred twenty".