1009161700 has 72 divisors (see below), whose sum is σ = 2266433064. Its totient is φ = 389760000.

The previous prime is 1009161697. The next prime is 1009161707. The reversal of 1009161700 is 71619001.

1009161700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 63107136 + 946054564 = 7944^2 + 30758^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (1009161707) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 412882 + ... + 415318.

It is an arithmetic number, because the mean of its divisors is an integer number (31478237).

Almost surely, 2^1009161700 is an apocalyptic number.

1009161700 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 1009161700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1133216532).

1009161700 is an abundant number, since it is smaller than the sum of its proper divisors (1257271364).

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

1009161700 is a wasteful number, since it uses less digits than its factorization.

1009161700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2593 (or 2586 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 25.

The square root of 1009161700 is about 31767.3055199839. The cubic root of 1009161700 is about 1003.0446208761.

The spelling of 1009161700 in words is "one billion, nine million, one hundred sixty-one thousand, seven hundred".