1016010864 has 400 divisors, whose sum is σ = 3514536960. Its totient is φ = 282268800.

The previous prime is 1016010841. The next prime is 1016010869. The reversal of 1016010864 is 4680106101.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1016010869) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 32774529 + ... + 32774559.

Almost surely, 2^1016010864 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 1016010864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1757268480).

1016010864 is an abundant number, since it is smaller than the sum of its proper divisors (2498526096).

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

1016010864 is a wasteful number, since it uses less digits than its factorization.

1016010864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 66 counting only the distinct ones).

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

The square root of 1016010864 is about 31874.9253175596. The cubic root of 1016010864 is about 1005.3087222635.

Adding to 1016010864 its reverse (4680106101), we get a palindrome (5696116965).

The spelling of 1016010864 in words is "one billion, sixteen million, ten thousand, eight hundred sixty-four".