8240290164 has 96 divisors (see below), whose sum is σ = 21753607680. Its totient is φ = 2696803200.

The previous prime is 8240290159. The next prime is 8240290183. The reversal of 8240290164 is 4610920428.

8240290164 is a `hidden beast` number, since 8 + 2 + 402 + 90 + 164 = 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 31 ways as a sum of consecutive naturals, for example, 6000982 + ... + 6002354.

It is an arithmetic number, because the mean of its divisors is an integer number (226600080).

Almost surely, 2^8240290164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8240290164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10876803840).

8240290164 is an abundant number, since it is smaller than the sum of its proper divisors (13513317516).

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

8240290164 is a wasteful number, since it uses less digits than its factorization.

8240290164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2358 (or 2350 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 8240290164 is about 90776.0439984030. The cubic root of 8240290164 is about 2019.8269763247.

The spelling of 8240290164 in words is "eight billion, two hundred forty million, two hundred ninety thousand, one hundred sixty-four".