1611680480 has 48 divisors (see below), whose sum is σ = 3900479184. Its totient is φ = 628945920.

The previous prime is 1611680479. The next prime is 1611680509. The reversal of 1611680480 is 840861161.

It is a happy number.

It is a super-2 number, since 2×1611680480² = 5195027939226060800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1611680480.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 116282 + ... + 129401.

It is an arithmetic number, because the mean of its divisors is an integer number (81259983).

Almost surely, 2^1611680480 is an apocalyptic number.

1611680480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1611680480 is an abundant number, since it is smaller than the sum of its proper divisors (2288798704).

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

1611680480 is a wasteful number, since it uses less digits than its factorization.

1611680480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245739 (or 245731 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 35.

The square root of 1611680480 is about 40145.7404963466. The cubic root of 1611680480 is about 1172.4463581886.

The spelling of 1611680480 in words is "one billion, six hundred eleven million, six hundred eighty thousand, four hundred eighty".