53738496 has 264 divisors, whose sum is σ = 191599200. Its totient is φ = 14450688.

The previous prime is 53738491. The next prime is 53738501. The reversal of 53738496 is 69483735.

It is an interprime number because it is at equal distance from previous prime (53738491) and next prime (53738501).

Its product of digits (544320) is a multiple of the sum of its prime factors (64).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53738491) 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, 3161080 + ... + 3161096.

Almost surely, 2^53738496 is an apocalyptic number.

53738496 is a gapful number since it is divisible by the number (56) 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 53738496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95799600).

53738496 is an abundant number, since it is smaller than the sum of its proper divisors (137860704).

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

53738496 is a wasteful number, since it uses less digits than its factorization.

53738496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 29 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 53738496 is about 7330.6545410352. The cubic root of 53738496 is about 377.3651896451.

The spelling of 53738496 in words is "fifty-three million, seven hundred thirty-eight thousand, four hundred ninety-six".