83973120 has 352 divisors, whose sum is σ = 339572736. Its totient is φ = 17203200.

The previous prime is 83973089. The next prime is 83973137. The reversal of 83973120 is 2137938.

It is a tau number, because it is divible by the number of its divisors (352).

It is a super-4 number, since 4×83973120⁴ (a number of 33 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1182685 + ... + 1182755.

Almost surely, 2^83973120 is an apocalyptic number.

83973120 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 83973120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169786368).

83973120 is an abundant number, since it is smaller than the sum of its proper divisors (255599616).

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

83973120 is a wasteful number, since it uses less digits than its factorization.

83973120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 83973120 is about 9163.6848483566. The cubic root of 83973120 is about 437.9051941342.

The spelling of 83973120 in words is "eighty-three million, nine hundred seventy-three thousand, one hundred twenty".