1020388160 has 252 divisors, whose sum is σ = 2857349124. Its totient is φ = 346705920.

The previous prime is 1020388129. The next prime is 1020388177. The reversal of 1020388160 is 618830201.

It can be written as a sum of positive squares in 2 ways, for example, as 472453696 + 547934464 = 21736^2 + 23408^2 .

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13977884 + ... + 13977956.

It is an arithmetic number, because the mean of its divisors is an integer number (11338687).

Almost surely, 2^1020388160 is an apocalyptic number.

1020388160 is a gapful number since it is divisible by the number (10) 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 1020388160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1428674562).

1020388160 is an abundant number, since it is smaller than the sum of its proper divisors (1836960964).

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

1020388160 is a wasteful number, since it uses less digits than its factorization.

1020388160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 29.

The square root of 1020388160 is about 31943.5151478356. The cubic root of 1020388160 is about 1006.7503831279.

The spelling of 1020388160 in words is "one billion, twenty million, three hundred eighty-eight thousand, one hundred sixty".