53938416 has 240 divisors, whose sum is σ = 183202560. Its totient is φ = 13547520.

The previous prime is 53938387. The next prime is 53938421. The reversal of 53938416 is 61483935.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 759661 + ... + 759731.

It is an arithmetic number, because the mean of its divisors is an integer number (763344).

Almost surely, 2^53938416 is an apocalyptic number.

53938416 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 53938416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91601280).

53938416 is an abundant number, since it is smaller than the sum of its proper divisors (129264144).

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

53938416 is a wasteful number, since it uses less digits than its factorization.

53938416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 119 counting only the distinct ones).

The product of its digits is 77760, while the sum is 39.

The square root of 53938416 is about 7344.2777725247. The cubic root of 53938416 is about 377.8325733153.

The spelling of 53938416 in words is "fifty-three million, nine hundred thirty-eight thousand, four hundred sixteen".