8907601920 has 384 divisors, whose sum is σ = 34003307520. Its totient is φ = 1946419200.

The previous prime is 8907601849. The next prime is 8907601949. The reversal of 8907601920 is 291067098.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (42).

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 31 ways as a sum of consecutive naturals, for example, 4945020 + ... + 4946820.

It is an arithmetic number, because the mean of its divisors is an integer number (88550280).

Almost surely, 2^8907601920 is an apocalyptic number.

8907601920 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 8907601920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17001653760).

8907601920 is an abundant number, since it is smaller than the sum of its proper divisors (25095705600).

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

8907601920 is a wasteful number, since it uses less digits than its factorization.

8907601920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1861 (or 1841 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 42.

The square root of 8907601920 is about 94380.0928162290. The cubic root of 8907601920 is about 2072.9409618800.

The spelling of 8907601920 in words is "eight billion, nine hundred seven million, six hundred one thousand, nine hundred twenty".