1036272960 has 448 divisors, whose sum is σ = 3897538560. Its totient is φ = 258785280.

The previous prime is 1036272947. The next prime is 1036272973. The reversal of 1036272960 is 692726301.

1036272960 is a `hidden beast` number, since 1 + 0 + 3 + 627 + 29 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1036272947) and next prime (1036272973).

It is a super-3 number, since 3×1036272960³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14195484 + ... + 14195556.

Almost surely, 2^1036272960 is an apocalyptic number.

1036272960 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 1036272960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1948769280).

1036272960 is an abundant number, since it is smaller than the sum of its proper divisors (2861265600).

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

1036272960 is a wasteful number, since it uses less digits than its factorization.

1036272960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 1036272960 is about 32191.1938268838. The cubic root of 1036272960 is about 1011.9476713192.

The spelling of 1036272960 in words is "one billion, thirty-six million, two hundred seventy-two thousand, nine hundred sixty".