8541937920 has 432 divisors, whose sum is σ = 29894235840. Its totient is φ = 2072199168.

The previous prime is 8541937913. The next prime is 8541937933. The reversal of 8541937920 is 297391458.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 8541937920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 161168614 + ... + 161168666.

It is an arithmetic number, because the mean of its divisors is an integer number (69199620).

Almost surely, 2^8541937920 is an apocalyptic number.

8541937920 is a gapful number since it is divisible by the number (80) 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 8541937920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14947117920).

8541937920 is an abundant number, since it is smaller than the sum of its proper divisors (21352297920).

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

8541937920 is a wasteful number, since it uses less digits than its factorization.

8541937920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The square root of 8541937920 is about 92422.6050271253. The cubic root of 8541937920 is about 2044.1784406419.

The spelling of 8541937920 in words is "eight billion, five hundred forty-one million, nine hundred thirty-seven thousand, nine hundred twenty".