1629661536 has 36 divisors (see below), whose sum is σ = 4634350812. Its totient is φ = 543220416.

The previous prime is 1629661519. The next prime is 1629661541. The reversal of 1629661536 is 6351669261.

1629661536 is a `hidden beast` number, since 1 + 6 + 29 + 6 + 615 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×1629661536³ (a number of 29 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1629661491 and 1629661500.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2828986 + ... + 2829561.

It is an arithmetic number, because the mean of its divisors is an integer number (128731967).

Almost surely, 2^1629661536 is an apocalyptic number.

1629661536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1629661536 is an abundant number, since it is smaller than the sum of its proper divisors (3004689276).

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

1629661536 is a wasteful number, since it uses less digits than its factorization.

1629661536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5658563 (or 5658552 counting only the distinct ones).

The product of its digits is 349920, while the sum is 45.

The square root of 1629661536 is about 40369.0665733059. The cubic root of 1629661536 is about 1176.7904584329.

The spelling of 1629661536 in words is "one billion, six hundred twenty-nine million, six hundred sixty-one thousand, five hundred thirty-six".