1020755580 has 96 divisors (see below), whose sum is σ = 3115252224. Its totient is φ = 248219904.

The previous prime is 1020755579. The next prime is 1020755581. The reversal of 1020755580 is 855570201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1020755579) and next prime (1020755581).

It is a super-3 number, since 3×1020755580³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020755581) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56857 + ... + 72623.

It is an arithmetic number, because the mean of its divisors is an integer number (32450544).

Almost surely, 2^1020755580 is an apocalyptic number.

1020755580 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 1020755580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1557626112).

1020755580 is an abundant number, since it is smaller than the sum of its proper divisors (2094496644).

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

1020755580 is a wasteful number, since it uses less digits than its factorization.

1020755580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15875 (or 15873 counting only the distinct ones).

The product of its (nonzero) digits is 14000, while the sum is 33.

The square root of 1020755580 is about 31949.2657192618. The cubic root of 1020755580 is about 1006.8712050698.

The spelling of 1020755580 in words is "one billion, twenty million, seven hundred fifty-five thousand, five hundred eighty".