53982720 has 320 divisors, whose sum is σ = 212129280. Its totient is φ = 12902400.

The previous prime is 53982689. The next prime is 53982727. The reversal of 53982720 is 2728935.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53982727) 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, 760285 + ... + 760355.

It is an arithmetic number, because the mean of its divisors is an integer number (662904).

Almost surely, 2^53982720 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53982720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106064640).

53982720 is an abundant number, since it is smaller than the sum of its proper divisors (158146560).

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

53982720 is a wasteful number, since it uses less digits than its factorization.

53982720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 53982720 is about 7347.2933791975. The cubic root of 53982720 is about 377.9359931936.

It can be divided in two parts, 5398 and 2720, that added together give a palindrome (8118).

The spelling of 53982720 in words is "fifty-three million, nine hundred eighty-two thousand, seven hundred twenty".