1036012320 has 288 divisors, whose sum is σ = 4094737920. Its totient is φ = 233625600.

The previous prime is 1036012303. The next prime is 1036012361. The reversal of 1036012320 is 232106301.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×1036012320³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1036012293 and 1036012302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 795670 + ... + 796970.

It is an arithmetic number, because the mean of its divisors is an integer number (14217840).

Almost surely, 2^1036012320 is an apocalyptic number.

1036012320 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 1036012320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2047368960).

1036012320 is an abundant number, since it is smaller than the sum of its proper divisors (3058725600).

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

1036012320 is a wasteful number, since it uses less digits than its factorization.

1036012320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1408 (or 1397 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1036012320 is about 32187.1452601811. The cubic root of 1036012320 is about 1011.8628236111.

Adding to 1036012320 its reverse (232106301), we get a palindrome (1268118621).

The spelling of 1036012320 in words is "one billion, thirty-six million, twelve thousand, three hundred twenty".