1641892896 has 192 divisors, whose sum is σ = 5494728960. Its totient is φ = 467251200.

The previous prime is 1641892891. The next prime is 1641892921. The reversal of 1641892896 is 6982981461.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1641892891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2424910 + ... + 2425586.

It is an arithmetic number, because the mean of its divisors is an integer number (28618380).

Almost surely, 2^1641892896 is an apocalyptic number.

1641892896 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 1641892896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2747364480).

1641892896 is an abundant number, since it is smaller than the sum of its proper divisors (3852836064).

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

1641892896 is a wasteful number, since it uses less digits than its factorization.

1641892896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1104 (or 1090 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 54.

The square root of 1641892896 is about 40520.2775903621. The cubic root of 1641892896 is about 1179.7272413708.

The spelling of 1641892896 in words is "one billion, six hundred forty-one million, eight hundred ninety-two thousand, eight hundred ninety-six".