1236275040 has 768 divisors, whose sum is σ = 5462360064. Its totient is φ = 226713600.

The previous prime is 1236275039. The next prime is 1236275041. The reversal of 1236275040 is 405726321.

It is an interprime number because it is at equal distance from previous prime (1236275039) and next prime (1236275041).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1236274989 and 1236275007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1236275041) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14894839 + ... + 14894921.

It is an arithmetic number, because the mean of its divisors is an integer number (7112448).

Almost surely, 2^1236275040 is an apocalyptic number.

1236275040 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 1236275040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2731180032).

1236275040 is an abundant number, since it is smaller than the sum of its proper divisors (4226085024).

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

1236275040 is a wasteful number, since it uses less digits than its factorization.

1236275040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 1236275040 is about 35160.7030646431. The cubic root of 1236275040 is about 1073.2602224633.

The spelling of 1236275040 in words is "one billion, two hundred thirty-six million, two hundred seventy-five thousand, forty".