1609826952 has 96 divisors (see below), whose sum is σ = 4193592480. Its totient is φ = 514667520.

The previous prime is 1609826909. The next prime is 1609826983. The reversal of 1609826952 is 2596289061.

It is a super-2 number, since 2×1609826952² = 5183085630771220608, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5243583 + ... + 5243889.

It is an arithmetic number, because the mean of its divisors is an integer number (43683255).

Almost surely, 2^1609826952 is an apocalyptic number.

1609826952 is a gapful number since it is divisible by the number (12) 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 1609826952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2096796240).

1609826952 is an abundant number, since it is smaller than the sum of its proper divisors (2583765528).

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

1609826952 is a wasteful number, since it uses less digits than its factorization.

1609826952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 48.

The square root of 1609826952 is about 40122.6488656968. The cubic root of 1609826952 is about 1171.9967248605.

The spelling of 1609826952 in words is "one billion, six hundred nine million, eight hundred twenty-six thousand, nine hundred fifty-two".