1020993120 has 384 divisors, whose sum is σ = 4301337600. Its totient is φ = 220962816.

The previous prime is 1020993119. The next prime is 1020993163. The reversal of 1020993120 is 213990201.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 573672 + ... + 575448.

It is an arithmetic number, because the mean of its divisors is an integer number (11201400).

Almost surely, 2^1020993120 is an apocalyptic number.

1020993120 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 1020993120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2150668800).

1020993120 is an abundant number, since it is smaller than the sum of its proper divisors (3280344480).

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

1020993120 is a wasteful number, since it uses less digits than its factorization.

1020993120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1827 (or 1813 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 1020993120 is about 31952.9829593420. The cubic root of 1020993120 is about 1006.9493020013.

The spelling of 1020993120 in words is "one billion, twenty million, nine hundred ninety-three thousand, one hundred twenty".