1016081064 has 128 divisors (see below), whose sum is σ = 2874960000. Its totient is φ = 332467200.

The previous prime is 1016081047. The next prime is 1016081081. The reversal of 1016081064 is 4601806101.

It is an interprime number because it is at equal distance from previous prime (1016081047) and next prime (1016081081).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 4215984 + ... + 4216224.

It is an arithmetic number, because the mean of its divisors is an integer number (22460625).

Almost surely, 2^1016081064 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 1016081064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1437480000).

1016081064 is an abundant number, since it is smaller than the sum of its proper divisors (1858878936).

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

1016081064 is a wasteful number, since it uses less digits than its factorization.

1016081064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 1016081064 is about 31876.0264775897. The cubic root of 1016081064 is about 1005.3318752466.

Adding to 1016081064 its reverse (4601806101), we get a palindrome (5617887165).

The spelling of 1016081064 in words is "one billion, sixteen million, eighty-one thousand, sixty-four".