1995945600 has 384 divisors, whose sum is σ = 7362653760. Its totient is φ = 471040000.

The previous prime is 1995945517. The next prime is 1995945613. The reversal of 1995945600 is 65495991.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1995945600.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4329370 + ... + 4329830.

Almost surely, 2^1995945600 is an apocalyptic number.

1995945600 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 1995945600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3681326880).

1995945600 is an abundant number, since it is smaller than the sum of its proper divisors (5366708160).

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

1995945600 is a wasteful number, since it uses less digits than its factorization.

1995945600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 437400, while the sum is 48.

The square root of 1995945600 is about 44676.0069836148. The cubic root of 1995945600 is about 1259.0691032958.

The spelling of 1995945600 in words is "one billion, nine hundred ninety-five million, nine hundred forty-five thousand, six hundred".