8214492960 has 192 divisors, whose sum is σ = 29420012160. Its totient is φ = 2139540480.

The previous prime is 8214492929. The next prime is 8214492961. The reversal of 8214492960 is 692944128.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (8214492961) 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, 163650 + ... + 207870.

It is an arithmetic number, because the mean of its divisors is an integer number (153229230).

Almost surely, 2^8214492960 is an apocalyptic number.

8214492960 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 8214492960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14710006080).

8214492960 is an abundant number, since it is smaller than the sum of its proper divisors (21205519200).

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

8214492960 is a wasteful number, since it uses less digits than its factorization.

8214492960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44288 (or 44274 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 8214492960 is about 90633.8400378137. The cubic root of 8214492960 is about 2017.7170037859.

The spelling of 8214492960 in words is "eight billion, two hundred fourteen million, four hundred ninety-two thousand, nine hundred sixty".