8023464960 has 176 divisors, whose sum is σ = 29329022976. Its totient is φ = 1833910272.

The previous prime is 8023464949. The next prime is 8023464961. The reversal of 8023464960 is 694643208.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8023464961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70209 + ... + 144831.

It is an arithmetic number, because the mean of its divisors is an integer number (166642176).

Almost surely, 2^8023464960 is an apocalyptic number.

8023464960 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 8023464960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14664511488).

8023464960 is an abundant number, since it is smaller than the sum of its proper divisors (21305558016).

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

8023464960 is a wasteful number, since it uses less digits than its factorization.

8023464960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74658 (or 74640 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The square root of 8023464960 is about 89573.7961682991. The cubic root of 8023464960 is about 2001.9535046219.

The spelling of 8023464960 in words is "eight billion, twenty-three million, four hundred sixty-four thousand, nine hundred sixty".