1009936620 has 384 divisors, whose sum is σ = 3971358720. Its totient is φ = 206979840.

The previous prime is 1009936619. The next prime is 1009936633. The reversal of 1009936620 is 266399001.

1009936620 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4448947 + ... + 4449173.

It is an arithmetic number, because the mean of its divisors is an integer number (10342080).

Almost surely, 2^1009936620 is an apocalyptic number.

1009936620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a pronic number, being equal to 31779×31780.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1009936620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1985679360).

1009936620 is an abundant number, since it is smaller than the sum of its proper divisors (2961422100).

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

1009936620 is a wasteful number, since it uses less digits than its factorization.

1009936620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 1009936620 is about 31779.4999960666. The cubic root of 1009936620 is about 1003.3012961175.

1009936620 divided by its sum of digits (36) gives a triangular number (28053795 = T₇₄₉₀).

The spelling of 1009936620 in words is "one billion, nine million, nine hundred thirty-six thousand, six hundred twenty".