1010535680 has 144 divisors (see below), whose sum is σ = 3018121344. Its totient is φ = 314941440.

The previous prime is 1010535677. The next prime is 1010535727. The reversal of 1010535680 is 865350101.

It is a super-3 number, since 3×1010535680³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93434 + ... + 103686.

It is an arithmetic number, because the mean of its divisors is an integer number (20959176).

Almost surely, 2^1010535680 is an apocalyptic number.

1010535680 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 1010535680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1509060672).

1010535680 is an abundant number, since it is smaller than the sum of its proper divisors (2007585664).

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

1010535680 is a wasteful number, since it uses less digits than its factorization.

1010535680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10292 (or 10278 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 29.

The square root of 1010535680 is about 31788.9238572179. The cubic root of 1010535680 is about 1003.4996316247.

Adding to 1010535680 its reverse (865350101), we get a palindrome (1875885781).

The spelling of 1010535680 in words is "one billion, ten million, five hundred thirty-five thousand, six hundred eighty".