1630959120 has 180 divisors, whose sum is σ = 6371695980. Its totient is φ = 372782592.

The previous prime is 1630959023. The next prime is 1630959137. The reversal of 1630959120 is 219590361.

1630959120 is a `hidden beast` number, since 1 + 63 + 0 + 9 + 591 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1292546304 + 338412816 = 35952^2 + 18396^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×1630959120² = 5320055302222348800, 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 35 ways as a sum of consecutive naturals, for example, 12166 + ... + 58394.

It is an arithmetic number, because the mean of its divisors is an integer number (35398311).

Almost surely, 2^1630959120 is an apocalyptic number.

1630959120 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 1630959120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3185847990).

1630959120 is an abundant number, since it is smaller than the sum of its proper divisors (4740736860).

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

1630959120 is a wasteful number, since it uses less digits than its factorization.

1630959120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46262 (or 46246 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 1630959120 is about 40385.1348889663. The cubic root of 1630959120 is about 1177.1027071911.

The spelling of 1630959120 in words is "one billion, six hundred thirty million, nine hundred fifty-nine thousand, one hundred twenty".