1616775120 has 160 divisors (see below), whose sum is σ = 5606903040. Its totient is φ = 428198400.

The previous prime is 1616775119. The next prime is 1616775169. The reversal of 1616775120 is 215776161.

It is a super-2 number, since 2×1616775120² = 5227923577302028800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 323682 + ... + 328638.

It is an arithmetic number, because the mean of its divisors is an integer number (35043144).

Almost surely, 2^1616775120 is an apocalyptic number.

1616775120 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 1616775120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2803451520).

1616775120 is an abundant number, since it is smaller than the sum of its proper divisors (3990127920).

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

1616775120 is a wasteful number, since it uses less digits than its factorization.

1616775120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5130 (or 5118 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The square root of 1616775120 is about 40209.1422440221. The cubic root of 1616775120 is about 1173.6804550043.

The spelling of 1616775120 in words is "one billion, six hundred sixteen million, seven hundred seventy-five thousand, one hundred twenty".