1641690120 has 288 divisors, whose sum is σ = 5904342720. Its totient is φ = 364089600.

The previous prime is 1641690059. The next prime is 1641690137. The reversal of 1641690120 is 210961461.

It is a happy number.

It is a super-2 number, since 2×1641690120² = 5390292900211228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10872045 + ... + 10872195.

It is an arithmetic number, because the mean of its divisors is an integer number (20501190).

Almost surely, 2^1641690120 is an apocalyptic number.

1641690120 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 1641690120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2952171360).

1641690120 is an abundant number, since it is smaller than the sum of its proper divisors (4262652600).

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

1641690120 is a wasteful number, since it uses less digits than its factorization.

1641690120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 1641690120 is about 40517.7753584769. The cubic root of 1641690120 is about 1179.6786733997.

The spelling of 1641690120 in words is "one billion, six hundred forty-one million, six hundred ninety thousand, one hundred twenty".