1023488064 has 189 divisors, whose sum is σ = 3103465599. Its totient is φ = 322479360.

The previous prime is 1023488051. The next prime is 1023488093. The reversal of 1023488064 is 4608843201.

The square root of 1023488064 is 31992.

It is a perfect power (a square), and thus also a powerful number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 23802027 + ... + 23802069.

Almost surely, 2^1023488064 is an apocalyptic number.

1023488064 is the 31992-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1023488064

1023488064 is an abundant number, since it is smaller than the sum of its proper divisors (2079977535).

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

1023488064 is an equidigital number, since it uses as much as digits as its factorization.

1023488064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The cubic root of 1023488064 is about 1007.7688434422.

Multiplying 1023488064 by its sum of digits (36), we get a square (36845570304 = 191952²).

1023488064 divided by its sum of digits (36) gives a square (28430224 = 5332²).

Multiplying 1023488064 by its product of nonzero digits (36864), we get a square (37729863991296 = 6142464²).

The spelling of 1023488064 in words is "one billion, twenty-three million, four hundred eighty-eight thousand, sixty-four".