1841624064 has 132 divisors (see below), whose sum is σ = 6077526624. Its totient is φ = 526159872.

The previous prime is 1841624047. The next prime is 1841624087. The reversal of 1841624064 is 4604261481.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 50239 + ... + 78785.

Almost surely, 2^1841624064 is an apocalyptic number.

1841624064 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 1841624064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3038763312).

1841624064 is an abundant number, since it is smaller than the sum of its proper divisors (4235902560).

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

1841624064 is a wasteful number, since it uses less digits than its factorization.

1841624064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28580 (or 28559 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 1841624064 is about 42914.1475972668. The cubic root of 1841624064 is about 1225.7455550916.

The spelling of 1841624064 in words is "one billion, eight hundred forty-one million, six hundred twenty-four thousand, sixty-four".