1015891968 has 384 divisors, whose sum is σ = 3522355200. Its totient is φ = 253034496.

The previous prime is 1015891963. The next prime is 1015891997. The reversal of 1015891968 is 8691985101.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (1015891963) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12859353 + ... + 12859431.

It is an arithmetic number, because the mean of its divisors is an integer number (9172800).

Almost surely, 2^1015891968 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 1015891968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1761177600).

1015891968 is an abundant number, since it is smaller than the sum of its proper divisors (2506463232).

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

1015891968 is a wasteful number, since it uses less digits than its factorization.

1015891968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 48.

The square root of 1015891968 is about 31873.0602233297. The cubic root of 1015891968 is about 1005.2695061971.

The spelling of 1015891968 in words is "one billion, fifteen million, eight hundred ninety-one thousand, nine hundred sixty-eight".