57966948 has 192 divisors, whose sum is σ = 177811200. Its totient is φ = 16174080.

The previous prime is 57966943. The next prime is 57966949. The reversal of 57966948 is 84966975.

57966948 is a `hidden beast` number, since 579 + 6 + 69 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 57966894 and 57966903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57966941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1093690 + ... + 1093742.

It is an arithmetic number, because the mean of its divisors is an integer number (926100).

Almost surely, 2^57966948 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57966948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88905600).

57966948 is an abundant number, since it is smaller than the sum of its proper divisors (119844252).

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

57966948 is a wasteful number, since it uses less digits than its factorization.

57966948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 131 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The square root of 57966948 is about 7613.6028265204. The cubic root of 57966948 is about 387.0141212322.

The spelling of 57966948 in words is "fifty-seven million, nine hundred sixty-six thousand, nine hundred forty-eight".