1896100864 has 264 divisors, whose sum is σ = 4838911488. Its totient is φ = 738017280.

The previous prime is 1896100847. The next prime is 1896100879. The reversal of 1896100864 is 4680016981.

It is a self number, because there is not a number n which added to its sum of digits gives 1896100864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35775462 + ... + 35775514.

Almost surely, 2^1896100864 is an apocalyptic number.

1896100864 is a gapful number since it is divisible by the number (14) 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 1896100864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2419455744).

1896100864 is an abundant number, since it is smaller than the sum of its proper divisors (2942810624).

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

1896100864 is a wasteful number, since it uses less digits than its factorization.

1896100864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 43.

The square root of 1896100864 is about 43544.2403079902. The cubic root of 1896100864 is about 1237.7144997563.

The spelling of 1896100864 in words is "one billion, eight hundred ninety-six million, one hundred thousand, eight hundred sixty-four".