8214523920 has 480 divisors, whose sum is σ = 29691028224. Its totient is φ = 2032128000.

The previous prime is 8214523909. The next prime is 8214523969. The reversal of 8214523920 is 293254128.

It is a happy number.

8214523920 is a `hidden beast` number, since 8 + 214 + 52 + 392 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 81331870 + ... + 81331970.

Almost surely, 2^8214523920 is an apocalyptic number.

8214523920 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 8214523920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14845514112).

8214523920 is an abundant number, since it is smaller than the sum of its proper divisors (21476504304).

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

8214523920 is a wasteful number, since it uses less digits than its factorization.

8214523920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 8214523920 is about 90634.0108347854. The cubic root of 8214523920 is about 2017.7195386732.

The spelling of 8214523920 in words is "eight billion, two hundred fourteen million, five hundred twenty-three thousand, nine hundred twenty".