1636609968 has 160 divisors (see below), whose sum is σ = 5460364800. Its totient is φ = 459627264.

The previous prime is 1636609967. The next prime is 1636609969. The reversal of 1636609968 is 8699066361.

It is an interprime number because it is at equal distance from previous prime (1636609967) and next prime (1636609969).

It is a super-2 number, since 2×1636609968² = 5356984374713922048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1636609967) 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, 173830 + ... + 183002.

It is an arithmetic number, because the mean of its divisors is an integer number (34127280).

Almost surely, 2^1636609968 is an apocalyptic number.

1636609968 is a gapful number since it is divisible by the number (18) 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 1636609968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2730182400).

1636609968 is an abundant number, since it is smaller than the sum of its proper divisors (3823754832).

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

1636609968 is a wasteful number, since it uses less digits than its factorization.

1636609968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9256 (or 9244 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The square root of 1636609968 is about 40455.0363737323. The cubic root of 1636609968 is about 1178.4605914564.

The spelling of 1636609968 in words is "one billion, six hundred thirty-six million, six hundred nine thousand, nine hundred sixty-eight".