1629948960 has 192 divisors, whose sum is σ = 5728060800. Its totient is φ = 432884736.

The previous prime is 1629948923. The next prime is 1629948989. The reversal of 1629948960 is 698499261.

1629948960 is a `hidden beast` number, since 1 + 629 + 9 + 4 + 8 + 9 + 6 + 0 = 666.

It is a super-2 number, since 2×1629948960² = 5313467224410163200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1629948897 and 1629948906.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1325626 + ... + 1326854.

It is an arithmetic number, because the mean of its divisors is an integer number (29833650).

Almost surely, 2^1629948960 is an apocalyptic number.

1629948960 is a gapful number since it is divisible by the number (10) 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 1629948960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2864030400).

1629948960 is an abundant number, since it is smaller than the sum of its proper divisors (4098111840).

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

1629948960 is a wasteful number, since it uses less digits than its factorization.

1629948960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1560 (or 1546 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The square root of 1629948960 is about 40372.6263698561. The cubic root of 1629948960 is about 1176.8596380202.

The spelling of 1629948960 in words is "one billion, six hundred twenty-nine million, nine hundred forty-eight thousand, nine hundred sixty".