1985872896 has 352 divisors, whose sum is σ = 6959144960. Its totient is φ = 547430400.

The previous prime is 1985872891. The next prime is 1985872897. The reversal of 1985872896 is 6982785891.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (1985872891) 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 31 ways as a sum of consecutive naturals, for example, 5999451 + ... + 5999781.

Almost surely, 2^1985872896 is an apocalyptic number.

1985872896 is a gapful number since it is divisible by the number (16) 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 1985872896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3479572480).

1985872896 is an abundant number, since it is smaller than the sum of its proper divisors (4973272064).

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

1985872896 is a wasteful number, since it uses less digits than its factorization.

1985872896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 374 counting only the distinct ones).

The product of its digits is 17418240, while the sum is 63.

The square root of 1985872896 is about 44563.1338215795. The cubic root of 1985872896 is about 1256.9475317156.

The spelling of 1985872896 in words is "one billion, nine hundred eighty-five million, eight hundred seventy-two thousand, eight hundred ninety-six".