53834760 has 128 divisors (see below), whose sum is σ = 205113600. Its totient is φ = 12303360.

The previous prime is 53834749. The next prime is 53834761. The reversal of 53834760 is 6743835.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (53834761) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 4000 + ... + 11120.

It is an arithmetic number, because the mean of its divisors is an integer number (1602450).

Almost surely, 2^53834760 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 53834760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102556800).

53834760 is an abundant number, since it is smaller than the sum of its proper divisors (151278840).

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

53834760 is a wasteful number, since it uses less digits than its factorization.

53834760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7148 (or 7138 counting only the distinct ones).

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

The square root of 53834760 is about 7337.2174562296. The cubic root of 53834760 is about 377.5903852108.

The spelling of 53834760 in words is "fifty-three million, eight hundred thirty-four thousand, seven hundred sixty".