53955540 has 72 divisors (see below), whose sum is σ = 167495328. Its totient is φ = 14051520.

The previous prime is 53955521. The next prime is 53955547. The reversal of 53955540 is 4555935.

It is a super-2 number, since 2×53955540² = 5822400593383200, which contains 22 as substring.

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 = 53955495 and 53955504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53955547) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4255 + ... + 11225.

It is an arithmetic number, because the mean of its divisors is an integer number (2326324).

Almost surely, 2^53955540 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 53955540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83747664).

53955540 is an abundant number, since it is smaller than the sum of its proper divisors (113539788).

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

53955540 is a wasteful number, since it uses less digits than its factorization.

53955540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7029 (or 7024 counting only the distinct ones).

The product of its (nonzero) digits is 67500, while the sum is 36.

The square root of 53955540 is about 7345.4434855902. The cubic root of 53955540 is about 377.8725529866.

The spelling of 53955540 in words is "fifty-three million, nine hundred fifty-five thousand, five hundred forty".