19630080 has 192 divisors, whose sum is σ = 70761600. Its totient is φ = 5160960.

The previous prime is 19630069. The next prime is 19630123. The reversal of 19630080 is 8003691.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 276445 + ... + 276515.

It is an arithmetic number, because the mean of its divisors is an integer number (368550).

Almost surely, 2^19630080 is an apocalyptic number.

19630080 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 19630080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35380800).

19630080 is an abundant number, since it is smaller than the sum of its proper divisors (51131520).

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

19630080 is an equidigital number, since it uses as much as digits as its factorization.

19630080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 19630080 is about 4430.5846115383. The cubic root of 19630080 is about 269.7578075074.

It can be divided in two parts, 196 and 30080, that added together give a square (30276 = 174²).

The spelling of 19630080 in words is "nineteen million, six hundred thirty thousand, eighty".