257678064 has 320 divisors, whose sum is σ = 904704000. Its totient is φ = 70108416.

The previous prime is 257678063. The next prime is 257678077. The reversal of 257678064 is 460876752.

257678064 is a `hidden beast` number, since 2 + 576 + 78 + 0 + 6 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257678063) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5482489 + ... + 5482535.

It is an arithmetic number, because the mean of its divisors is an integer number (2827200).

Almost surely, 2^257678064 is an apocalyptic number.

257678064 is a gapful number since it is divisible by the number (24) 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 257678064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452352000).

257678064 is an abundant number, since it is smaller than the sum of its proper divisors (647025936).

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

257678064 is a wasteful number, since it uses less digits than its factorization.

257678064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 257678064 is about 16052.3538460875. The cubic root of 257678064 is about 636.3447756834.

The spelling of 257678064 in words is "two hundred fifty-seven million, six hundred seventy-eight thousand, sixty-four".