53757840 has 80 divisors (see below), whose sum is σ = 175435200. Its totient is φ = 13579776.

The previous prime is 53757839. The next prime is 53757881. The reversal of 53757840 is 4875735.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×53757840² = 5779810722931200, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 1335 + ... + 10454.

It is an arithmetic number, because the mean of its divisors is an integer number (2192940).

Almost surely, 2^53757840 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 53757840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87717600).

53757840 is an abundant number, since it is smaller than the sum of its proper divisors (121677360).

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

53757840 is a wasteful number, since it uses less digits than its factorization.

53757840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11824 (or 11818 counting only the distinct ones).

The product of its (nonzero) digits is 117600, while the sum is 39.

The square root of 53757840 is about 7331.9738133739. The cubic root of 53757840 is about 377.4104636855.

The spelling of 53757840 in words is "fifty-three million, seven hundred fifty-seven thousand, eight hundred forty".