1996915200 has 960 divisors, whose sum is σ = 8768010240. Its totient is φ = 389283840.

The previous prime is 1996915199. The next prime is 1996915201. The reversal of 1996915200 is 25196991.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1996915199) and next prime (1996915201).

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1996915201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 86822389 + ... + 86822411.

It is an arithmetic number, because the mean of its divisors is an integer number (9133344).

Almost surely, 2^1996915200 is an apocalyptic number.

1996915200 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 1996915200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4384005120).

1996915200 is an abundant number, since it is smaller than the sum of its proper divisors (6771095040).

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

1996915200 is a wasteful number, since it uses less digits than its factorization.

1996915200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 42.

The square root of 1996915200 is about 44686.8571282430. The cubic root of 1996915200 is about 1259.2729491613.

The spelling of 1996915200 in words is "one billion, nine hundred ninety-six million, nine hundred fifteen thousand, two hundred".