83964720 has 320 divisors, whose sum is σ = 323979264. Its totient is φ = 17571840.

The previous prime is 83964703. The next prime is 83964721. The reversal of 83964720 is 2746938.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83964721) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1584214 + ... + 1584266.

Almost surely, 2^83964720 is an apocalyptic number.

83964720 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 83964720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161989632).

83964720 is an abundant number, since it is smaller than the sum of its proper divisors (240014544).

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

83964720 is a wasteful number, since it uses less digits than its factorization.

83964720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 83964720 is about 9163.2265059858. The cubic root of 83964720 is about 437.8905921350.

The spelling of 83964720 in words is "eighty-three million, nine hundred sixty-four thousand, seven hundred twenty".