1629266940 has 192 divisors, whose sum is σ = 5814681600. Its totient is φ = 371008512.

The previous prime is 1629266923. The next prime is 1629266953. The reversal of 1629266940 is 496629261.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1273221 + ... + 1274499.

It is an arithmetic number, because the mean of its divisors is an integer number (30284800).

Almost surely, 2^1629266940 is an apocalyptic number.

1629266940 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 1629266940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2907340800).

1629266940 is an abundant number, since it is smaller than the sum of its proper divisors (4185414660).

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

1629266940 is a wasteful number, since it uses less digits than its factorization.

1629266940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1641 (or 1633 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 1629266940 is about 40364.1789214150. The cubic root of 1629266940 is about 1176.6954705512.

The spelling of 1629266940 in words is "one billion, six hundred twenty-nine million, two hundred sixty-six thousand, nine hundred forty".