1023257664 has 448 divisors, whose sum is σ = 3656136960. Its totient is φ = 276480000.

The previous prime is 1023257639. The next prime is 1023257687. The reversal of 1023257664 is 4667523201.

1023257664 is a `hidden beast` number, since 1 + 0 + 23 + 2 + 576 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10131214 + ... + 10131314.

It is an arithmetic number, because the mean of its divisors is an integer number (8161020).

Almost surely, 2^1023257664 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 1023257664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1828068480).

1023257664 is an abundant number, since it is smaller than the sum of its proper divisors (2632879296).

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

1023257664 is a wasteful number, since it uses less digits than its factorization.

1023257664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 1023257664 is about 31988.3988971002. The cubic root of 1023257664 is about 1007.6932172984.

It can be divided in two parts, 10232 and 57664, that added together give a triangular number (67896 = T₃₆₈).

The spelling of 1023257664 in words is "one billion, twenty-three million, two hundred fifty-seven thousand, six hundred sixty-four".