53641648 has 40 divisors (see below), whose sum is σ = 108252000. Its totient is φ = 25718784.

The previous prime is 53641547. The next prime is 53641657. The reversal of 53641648 is 84614635.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 89253 + ... + 89851.

It is an arithmetic number, because the mean of its divisors is an integer number (2706300).

Almost surely, 2^53641648 is an apocalyptic number.

53641648 is a gapful number since it is divisible by the number (58) 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 53641648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54126000).

53641648 is an abundant number, since it is smaller than the sum of its proper divisors (54610352).

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

53641648 is a wasteful number, since it uses less digits than its factorization.

53641648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 829 (or 823 counting only the distinct ones).

The product of its digits is 69120, while the sum is 37.

The square root of 53641648 is about 7324.0458764265. The cubic root of 53641648 is about 377.1383563458.

It can be divided in two parts, 53641 and 648, that added together give a square (54289 = 233²).

The spelling of 53641648 in words is "fifty-three million, six hundred forty-one thousand, six hundred forty-eight".