1015966000 has 160 divisors (see below), whose sum is σ = 2866780800. Its totient is φ = 348096000.

The previous prime is 1015965983. The next prime is 1015966009. The reversal of 1015966000 is 6695101.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 1015966000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1015966009) 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, 685260 + ... + 686740.

It is an arithmetic number, because the mean of its divisors is an integer number (17917380).

Almost surely, 2^1015966000 is an apocalyptic number.

1015966000 is a gapful number since it is divisible by the number (10) 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 1015966000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1433390400).

1015966000 is an abundant number, since it is smaller than the sum of its proper divisors (1850814800).

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

1015966000 is an equidigital number, since it uses as much as digits as its factorization.

1015966000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1525 (or 1495 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 28.

The square root of 1015966000 is about 31874.2215591220. The cubic root of 1015966000 is about 1005.2939249039.

The spelling of 1015966000 in words is "one billion, fifteen million, nine hundred sixty-six thousand".