8214402560 has 320 divisors, whose sum is σ = 24921654912. Its totient is φ = 2526806016.

The previous prime is 8214402529. The next prime is 8214402577. The reversal of 8214402560 is 652044128.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8619044 + ... + 8619996.

Almost surely, 2^8214402560 is an apocalyptic number.

8214402560 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 8214402560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12460827456).

8214402560 is an abundant number, since it is smaller than the sum of its proper divisors (16707252352).

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

8214402560 is a wasteful number, since it uses less digits than its factorization.

8214402560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1033 (or 1017 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

The square root of 8214402560 is about 90633.3413264677. The cubic root of 8214402560 is about 2017.7096021408.

Adding to 8214402560 its reverse (652044128), we get a palindrome (8866446688).

The spelling of 8214402560 in words is "eight billion, two hundred fourteen million, four hundred two thousand, five hundred sixty".