53907840 has 288 divisors, whose sum is σ = 217676160. Its totient is φ = 12257280.

The previous prime is 53907829. The next prime is 53907857. The reversal of 53907840 is 4870935.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 53907795 and 53907804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 282145 + ... + 282335.

It is an arithmetic number, because the mean of its divisors is an integer number (755820).

It is a vampire number, since it can be written as 5730 ⋅ 9408 (with its own digits).

Almost surely, 2^53907840 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 53907840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108838080).

53907840 is an abundant number, since it is smaller than the sum of its proper divisors (163768320).

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

53907840 is a wasteful number, since it uses less digits than its factorization.

53907840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 53907840 is about 7342.1958568265. The cubic root of 53907840 is about 377.7611660003.

The spelling of 53907840 in words is "fifty-three million, nine hundred seven thousand, eight hundred forty".