57363642 has 48 divisors (see below), whose sum is σ = 142826112. Its totient is φ = 16299360.

The previous prime is 57363637. The next prime is 57363703. The reversal of 57363642 is 24636375.

57363642 is a `hidden beast` number, since 5 + 7 + 3 + 6 + 3 + 642 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (90720) is a multiple of the sum of its prime divisors (2520).

It is a junction number, because it is equal to n+sod(n) for n = 57363597 and 57363606.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23667 + ... + 25977.

It is an arithmetic number, because the mean of its divisors is an integer number (2975544).

Almost surely, 2^57363642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57363642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71413056).

57363642 is an abundant number, since it is smaller than the sum of its proper divisors (85462470).

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

57363642 is a wasteful number, since it uses less digits than its factorization.

57363642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2523 (or 2520 counting only the distinct ones).

The product of its digits is 90720, while the sum is 36.

The square root of 57363642 is about 7573.8789269436. The cubic root of 57363642 is about 385.6667862731. Note that the first 3 decimals are identical.

The spelling of 57363642 in words is "fifty-seven million, three hundred sixty-three thousand, six hundred forty-two".