1630923840 has 672 divisors, whose sum is σ = 7100620800. Its totient is φ = 341397504.

The previous prime is 1630923839. The next prime is 1630923841. The reversal of 1630923840 is 483290361.

It is an interprime number because it is at equal distance from previous prime (1630923839) and next prime (1630923841).

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a junction number, because it is equal to n+sod(n) for n = 1630923795 and 1630923804.

It is not an unprimeable number, because it can be changed into a prime (1630923841) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 12841857 + ... + 12841983.

It is an arithmetic number, because the mean of its divisors is an integer number (10566400).

Almost surely, 2^1630923840 is an apocalyptic number.

1630923840 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 1630923840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3550310400).

1630923840 is an abundant number, since it is smaller than the sum of its proper divisors (5469696960).

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

1630923840 is a wasteful number, since it uses less digits than its factorization.

1630923840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 1630923840 is about 40384.6980922230. The cubic root of 1630923840 is about 1177.0942196531.

The spelling of 1630923840 in words is "one billion, six hundred thirty million, nine hundred twenty-three thousand, eight hundred forty".