53484672 has 64 divisors (see below), whose sum is σ = 146684160. Its totient is φ = 17249280.

The previous prime is 53484649. The next prime is 53484679. The reversal of 53484672 is 27648435.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×53484672² = 5721220277895168, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 53484672.

It is not an unprimeable number, because it can be changed into a prime (53484679) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9658 + ... + 14150.

It is an arithmetic number, because the mean of its divisors is an integer number (2291940).

Almost surely, 2^53484672 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 53484672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73342080).

53484672 is an abundant number, since it is smaller than the sum of its proper divisors (93199488).

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

53484672 is a wasteful number, since it uses less digits than its factorization.

53484672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4541 (or 4529 counting only the distinct ones).

The product of its digits is 161280, while the sum is 39.

The square root of 53484672 is about 7313.3215435943. The cubic root of 53484672 is about 376.7701131627.

The spelling of 53484672 in words is "fifty-three million, four hundred eighty-four thousand, six hundred seventy-two".