1629676152 has 128 divisors (see below), whose sum is σ = 4930632000. Its totient is φ = 495728640.

The previous prime is 1629676121. The next prime is 1629676177. The reversal of 1629676152 is 2516769261.

1629676152 is a `hidden beast` number, since 1 + 6 + 29 + 6 + 7 + 615 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1629676098 and 1629676107.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 246652 + ... + 253172.

Almost surely, 2^1629676152 is an apocalyptic number.

1629676152 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 1629676152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2465316000).

1629676152 is an abundant number, since it is smaller than the sum of its proper divisors (3300955848).

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

1629676152 is a wasteful number, since it uses less digits than its factorization.

1629676152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6638 (or 6628 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 1629676152 is about 40369.2476025997. The cubic root of 1629676152 is about 1176.7939765291.

The spelling of 1629676152 in words is "one billion, six hundred twenty-nine million, six hundred seventy-six thousand, one hundred fifty-two".