1630609920 has 320 divisors, whose sum is σ = 5986759680. Its totient is φ = 420249600.

The previous prime is 1630609919. The next prime is 1630609921. The reversal of 1630609920 is 299060361.

1630609920 is a `hidden beast` number, since 16 + 30 + 609 + 9 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1630609919) and next prime (1630609921).

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×1630609920² = 5317777422404812800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1630609921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2142340 + ... + 2143100.

It is an arithmetic number, because the mean of its divisors is an integer number (18708624).

Almost surely, 2^1630609920 is an apocalyptic number.

1630609920 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 1630609920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2993379840).

1630609920 is an abundant number, since it is smaller than the sum of its proper divisors (4356149760).

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

1630609920 is an equidigital number, since it uses as much as digits as its factorization.

1630609920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 824 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 1630609920 is about 40380.8112845693. The cubic root of 1630609920 is about 1177.0186924950.

The spelling of 1630609920 in words is "one billion, six hundred thirty million, six hundred nine thousand, nine hundred twenty".