8314621920 has 384 divisors, whose sum is σ = 33421248000. Its totient is φ = 1909370880.

The previous prime is 8314621883. The next prime is 8314621933. The reversal of 8314621920 is 291264138.

8314621920 is a `hidden beast` number, since 8 + 3 + 1 + 4 + 621 + 9 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 898276 + ... + 907484.

It is an arithmetic number, because the mean of its divisors is an integer number (87034500).

Almost surely, 2^8314621920 is an apocalyptic number.

8314621920 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 8314621920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16710624000).

8314621920 is an abundant number, since it is smaller than the sum of its proper divisors (25106626080).

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

8314621920 is a wasteful number, since it uses less digits than its factorization.

8314621920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9263 (or 9249 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 8314621920 is about 91184.5486911023. The cubic root of 8314621920 is about 2025.8821067749.

The spelling of 8314621920 in words is "eight billion, three hundred fourteen million, six hundred twenty-one thousand, nine hundred twenty".