1021013880 has 192 divisors, whose sum is σ = 3315600000. Its totient is φ = 251406336.

The previous prime is 1021013879. The next prime is 1021013893. The reversal of 1021013880 is 883101201.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1021013880.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2045871 + ... + 2046369.

It is an arithmetic number, because the mean of its divisors is an integer number (17268750).

Almost surely, 2^1021013880 is an apocalyptic number.

1021013880 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 1021013880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1657800000).

1021013880 is an abundant number, since it is smaller than the sum of its proper divisors (2294586120).

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

1021013880 is a wasteful number, since it uses less digits than its factorization.

1021013880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

The square root of 1021013880 is about 31953.3078099905. The cubic root of 1021013880 is about 1006.9561267700.

It can be divided in two parts, 10210 and 13880, that added together give a triangular number (24090 = T₂₁₉).

The spelling of 1021013880 in words is "one billion, twenty-one million, thirteen thousand, eight hundred eighty".