55946538 has 40 divisors (see below), whose sum is σ = 125910180. Its totient is φ = 18567360.

The previous prime is 55946533. The next prime is 55946567. The reversal of 55946538 is 83564955.

55946538 is a `hidden beast` number, since 5 + 594 + 6 + 53 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 46416969 + 9529569 = 6813^2 + 3087^2 .

It is a super-2 number, since 2×55946538² = 6260030228370888, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 55946493 and 55946502.

It is not an unprimeable number, because it can be changed into a prime (55946531) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 44908 + ... + 46136.

Almost surely, 2^55946538 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55946538, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62955090).

55946538 is an abundant number, since it is smaller than the sum of its proper divisors (69963642).

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

55946538 is a wasteful number, since it uses less digits than its factorization.

55946538 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1524 (or 1515 counting only the distinct ones).

The product of its digits is 648000, while the sum is 45.

The square root of 55946538 is about 7479.7418404648. The cubic root of 55946538 is about 382.4644488296.

The spelling of 55946538 in words is "fifty-five million, nine hundred forty-six thousand, five hundred thirty-eight".