53537748 has 72 divisors (see below), whose sum is σ = 139819680. Its totient is φ = 15811200.

The previous prime is 53537699. The next prime is 53537749. The reversal of 53537748 is 84773535.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53537749) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 491118 + ... + 491226.

It is an arithmetic number, because the mean of its divisors is an integer number (1941940).

Almost surely, 2^53537748 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 53537748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69909840).

53537748 is an abundant number, since it is smaller than the sum of its proper divisors (86281932).

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

53537748 is a wasteful number, since it uses less digits than its factorization.

53537748 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 186 counting only the distinct ones).

The product of its digits is 352800, while the sum is 42.

The square root of 53537748 is about 7316.9493643184. The cubic root of 53537748 is about 376.8947023739.

It can be divided in two parts, 53537 and 748, that added together give a triangular number (54285 = T₃₂₉).

The spelling of 53537748 in words is "fifty-three million, five hundred thirty-seven thousand, seven hundred forty-eight".