1020248064 has 360 divisors, whose sum is σ = 3496369968. Its totient is φ = 283115520.

The previous prime is 1020247999. The next prime is 1020248069. The reversal of 1020248064 is 4608420201.

It is a super-2 number, since 2×1020248064² = 2081812224191496192, which contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020248069) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27574254 + ... + 27574290.

Almost surely, 2^1020248064 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 1020248064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1748184984).

1020248064 is an abundant number, since it is smaller than the sum of its proper divisors (2476121904).

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

1020248064 is a wasteful number, since it uses less digits than its factorization.

1020248064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 1020248064 is about 31941.3222018125. The cubic root of 1020248064 is about 1006.7043064933.

Adding to 1020248064 its reverse (4608420201), we get a palindrome (5628668265).

The spelling of 1020248064 in words is "one billion, twenty million, two hundred forty-eight thousand, sixty-four".