1036008960 has 240 divisors, whose sum is σ = 3854123856. Its totient is φ = 236716032.

The previous prime is 1036008949. The next prime is 1036008971. The reversal of 1036008960 is 698006301.

It is an interprime number because it is at equal distance from previous prime (1036008949) and next prime (1036008971).

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×1036008960³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 374944 + ... + 377696.

Almost surely, 2^1036008960 is an apocalyptic number.

1036008960 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 1036008960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1927061928).

1036008960 is an abundant number, since it is smaller than the sum of its proper divisors (2818114896).

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

1036008960 is an equidigital number, since it uses as much as digits as its factorization.

1036008960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2793 (or 2770 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 1036008960 is about 32187.0930653888. The cubic root of 1036008960 is about 1011.8617297172.

The spelling of 1036008960 in words is "one billion, thirty-six million, eight thousand, nine hundred sixty".