869849064 has 256 divisors, whose sum is σ = 2995660800. Its totient is φ = 228178944.

The previous prime is 869849063. The next prime is 869849083. The reversal of 869849064 is 460948968.

869849064 is a `hidden beast` number, since 8 + 6 + 98 + 490 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 869849064.

It is not an unprimeable number, because it can be changed into a prime (869849063) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1104879 + ... + 1105665.

It is an arithmetic number, because the mean of its divisors is an integer number (11701800).

Almost surely, 2^869849064 is an apocalyptic number.

869849064 is a gapful number since it is divisible by the number (84) 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 869849064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1497830400).

869849064 is an abundant number, since it is smaller than the sum of its proper divisors (2125811736).

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

869849064 is a wasteful number, since it uses less digits than its factorization.

869849064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 869 (or 859 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The square root of 869849064 is about 29493.2036916982. The cubic root of 869849064 is about 954.5850610060.

The spelling of 869849064 in words is "eight hundred sixty-nine million, eight hundred forty-nine thousand, sixty-four".