53564040 has 192 divisors, whose sum is σ = 188697600. Its totient is φ = 13132800.

The previous prime is 53564029. The next prime is 53564041. The reversal of 53564040 is 4046535.

It is a super-2 number, since 2×53564040² = 5738212762243200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 53563995 and 53564013.

It is not an unprimeable number, because it can be changed into a prime (53564041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 280345 + ... + 280535.

It is an arithmetic number, because the mean of its divisors is an integer number (982800).

Almost surely, 2^53564040 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 53564040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94348800).

53564040 is an abundant number, since it is smaller than the sum of its proper divisors (135133560).

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

53564040 is a wasteful number, since it uses less digits than its factorization.

53564040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 53564040 is about 7318.7457941918. The cubic root of 53564040 is about 376.9563890293.

The spelling of 53564040 in words is "fifty-three million, five hundred sixty-four thousand, forty".