1996624080 has 240 divisors, whose sum is σ = 7586639424. Its totient is φ = 483978240.

The previous prime is 1996624067. The next prime is 1996624087. The reversal of 1996624080 is 804266991.

It is a happy number.

1996624080 is a `hidden beast` number, since 19 + 9 + 6 + 624 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1996624087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 209172 + ... + 218508.

Almost surely, 2^1996624080 is an apocalyptic number.

1996624080 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 1996624080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3793319712).

1996624080 is an abundant number, since it is smaller than the sum of its proper divisors (5590015344).

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

1996624080 is a wasteful number, since it uses less digits than its factorization.

1996624080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9376 (or 9358 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 1996624080 is about 44683.5996759437. The cubic root of 1996624080 is about 1259.2117518777.

The spelling of 1996624080 in words is "one billion, nine hundred ninety-six million, six hundred twenty-four thousand, eighty".