53985906 has 64 divisors (see below), whose sum is σ = 131725440. Its totient is φ = 16286400.

The previous prime is 53985901. The next prime is 53985917. The reversal of 53985906 is 60958935.

53985906 is a `hidden beast` number, since 53 + 9 + 8 + 590 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53985901) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36481 + ... + 37931.

It is an arithmetic number, because the mean of its divisors is an integer number (2058210).

Almost surely, 2^53985906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53985906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65862720).

53985906 is an abundant number, since it is smaller than the sum of its proper divisors (77739534).

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

53985906 is a wasteful number, since it uses less digits than its factorization.

53985906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1528 (or 1522 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The square root of 53985906 is about 7347.5101905339. The cubic root of 53985906 is about 377.9434281677.

The spelling of 53985906 in words is "fifty-three million, nine hundred eighty-five thousand, nine hundred six".