8404561920 has 416 divisors, whose sum is σ = 28661947200. Its totient is φ = 2099249152.

The previous prime is 8404561903. The next prime is 8404561927. The reversal of 8404561920 is 291654048.

It is a super-2 number, since 2×8404561920² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8404561927) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94433236 + ... + 94433324.

Almost surely, 2^8404561920 is an apocalyptic number.

8404561920 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 8404561920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14330973600).

8404561920 is an abundant number, since it is smaller than the sum of its proper divisors (20257385280).

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

8404561920 is a wasteful number, since it uses less digits than its factorization.

8404561920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 8404561920 is about 91676.3978349935. The cubic root of 8404561920 is about 2033.1606405934.

The spelling of 8404561920 in words is "eight billion, four hundred four million, five hundred sixty-one thousand, nine hundred twenty".