1629213696 has 264 divisors, whose sum is σ = 5314339520. Its totient is φ = 492687360.

The previous prime is 1629213673. The next prime is 1629213697. The reversal of 1629213696 is 6963129261.

1629213696 is a `hidden beast` number, since 1 + 629 + 2 + 13 + 6 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (264).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1629213697) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 3345165 + ... + 3345651.

Almost surely, 2^1629213696 is an apocalyptic number.

1629213696 is a gapful number since it is divisible by the number (16) 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 1629213696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2657169760).

1629213696 is an abundant number, since it is smaller than the sum of its proper divisors (3685125824).

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

1629213696 is a wasteful number, since it uses less digits than its factorization.

1629213696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 503 counting only the distinct ones).

The product of its digits is 209952, while the sum is 45.

The square root of 1629213696 is about 40363.5193708378. The cubic root of 1629213696 is about 1176.6826523824.

The spelling of 1629213696 in words is "one billion, six hundred twenty-nine million, two hundred thirteen thousand, six hundred ninety-six".