1629960 has 96 divisors (see below), whose sum is σ = 5304960. Its totient is φ = 400384.

The previous prime is 1629937. The next prime is 1629983. The reversal of 1629960 is 699261.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1629937) and next prime (1629983).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34657 + ... + 34703.

It is an arithmetic number, because the mean of its divisors is an integer number (55260).

2^1629960 is an apocalyptic number.

1629960 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 1629960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2652480).

1629960 is an abundant number, since it is smaller than the sum of its proper divisors (3675000).

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

1629960 is a wasteful number, since it uses less digits than its factorization.

1629960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 33.

The square root of 1629960 is about 1276.6988681753. The cubic root of 1629960 is about 117.6862295057.

The spelling of 1629960 in words is "one million, six hundred twenty-nine thousand, nine hundred sixty".