57985950 has 96 divisors (see below), whose sum is σ = 158775552. Its totient is φ = 13888000.

The previous prime is 57985943. The next prime is 57985951. The reversal of 57985950 is 5958975.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 57985950.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57985951) 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, 186295 + ... + 186605.

It is an arithmetic number, because the mean of its divisors is an integer number (1653912).

Almost surely, 2^57985950 is an apocalyptic number.

57985950 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 57985950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79387776).

57985950 is an abundant number, since it is smaller than the sum of its proper divisors (100789602).

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

57985950 is a wasteful number, since it uses less digits than its factorization.

57985950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 567000, while the sum is 48.

The square root of 57985950 is about 7614.8506223038. The cubic root of 57985950 is about 387.0564053220.

The spelling of 57985950 in words is "fifty-seven million, nine hundred eighty-five thousand, nine hundred fifty".