1016340864 has 256 divisors, whose sum is σ = 3460492800. Its totient is φ = 256573440.

The previous prime is 1016340839. The next prime is 1016340887. The reversal of 1016340864 is 4680436101.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 1093552 + ... + 1094480.

It is an arithmetic number, because the mean of its divisors is an integer number (13517550).

Almost surely, 2^1016340864 is an apocalyptic number.

1016340864 is a gapful number since it is divisible by the number (14) 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 1016340864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1730246400).

1016340864 is an abundant number, since it is smaller than the sum of its proper divisors (2444151936).

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

1016340864 is a wasteful number, since it uses less digits than its factorization.

1016340864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1001 (or 989 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 1016340864 is about 31880.1013800145. The cubic root of 1016340864 is about 1005.4175517977.

Adding to 1016340864 its reverse (4680436101), we get a palindrome (5696776965).

The spelling of 1016340864 in words is "one billion, sixteen million, three hundred forty thousand, eight hundred sixty-four".