1881297600 has 672 divisors, whose sum is σ = 7831165440. Its totient is φ = 384860160.

The previous prime is 1881297569. The next prime is 1881297641. The reversal of 1881297600 is 67921881.

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 (42).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25771164 + ... + 25771236.

It is an arithmetic number, because the mean of its divisors is an integer number (11653520).

Almost surely, 2^1881297600 is an apocalyptic number.

1881297600 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 1881297600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3915582720).

1881297600 is an abundant number, since it is smaller than the sum of its proper divisors (5949867840).

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

1881297600 is a wasteful number, since it uses less digits than its factorization.

1881297600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 42.

The square root of 1881297600 is about 43373.9276524504. The cubic root of 1881297600 is about 1234.4850470493.

The spelling of 1881297600 in words is "one billion, eight hundred eighty-one million, two hundred ninety-seven thousand, six hundred".