1023744064 has 42 divisors (see below), whose sum is σ = 2363171550. Its totient is φ = 438746112.

The previous prime is 1023744061. The next prime is 1023744103. The reversal of 1023744064 is 4604473201.

It can be written as a sum of positive squares in only one way, i.e., 678081600 + 345662464 = 26040^2 + 18592^2 .

It is not an unprimeable number, because it can be changed into a prime (1023744061) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 160089 + ... + 166360.

Almost surely, 2^1023744064 is an apocalyptic number.

1023744064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1023744064 is an abundant number, since it is smaller than the sum of its proper divisors (1339427486).

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

1023744064 is an equidigital number, since it uses as much as digits as its factorization.

1023744064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326475 (or 326458 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 31.

The square root of 1023744064 is about 31996.0007500938. Note that the first 3 decimals coincide. The cubic root of 1023744064 is about 1007.8528591809.

The spelling of 1023744064 in words is "one billion, twenty-three million, seven hundred forty-four thousand, sixty-four".