53763840 has 216 divisors, whose sum is σ = 200884320. Its totient is φ = 13197312.

The previous prime is 53763839. The next prime is 53763851. The reversal of 53763840 is 4836735.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 53763795 and 53763804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149581 + ... + 149939.

It is an arithmetic number, because the mean of its divisors is an integer number (930020).

Almost surely, 2^53763840 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 53763840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100442160).

53763840 is an abundant number, since it is smaller than the sum of its proper divisors (147120480).

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

53763840 is a wasteful number, since it uses less digits than its factorization.

53763840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 53763840 is about 7332.3829687217. The cubic root of 53763840 is about 377.4245042951.

It can be divided in two parts, 5376 and 3840, that added together give a square (9216 = 96²).

The spelling of 53763840 in words is "fifty-three million, seven hundred sixty-three thousand, eight hundred forty".