57845536 has 48 divisors (see below), whose sum is σ = 130757760. Its totient is φ = 24675840.

The previous prime is 57845497. The next prime is 57845549. The reversal of 57845536 is 63554875.

57845536 = T₄₉₆ + T₄₉₇ + ... + T₇₇₆.

It is a super-2 number, since 2×57845536² = 6692212070254592, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 57845492 and 57845501.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62485 + ... + 63403.

It is an arithmetic number, because the mean of its divisors is an integer number (2724120).

Almost surely, 2^57845536 is an apocalyptic number.

57845536 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57845536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65378880).

57845536 is an abundant number, since it is smaller than the sum of its proper divisors (72912224).

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

57845536 is a wasteful number, since it uses less digits than its factorization.

57845536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1217 (or 1209 counting only the distinct ones).

The product of its digits is 504000, while the sum is 43.

The square root of 57845536 is about 7605.6252865889. The cubic root of 57845536 is about 386.7437315017.

The spelling of 57845536 in words is "fifty-seven million, eight hundred forty-five thousand, five hundred thirty-six".