1226615040 has 648 divisors, whose sum is σ = 5152682808. Its totient is φ = 268369920.

The previous prime is 1226615021. The next prime is 1226615051. The reversal of 1226615040 is 405166221.

1226615040 is a `hidden beast` number, since 1 + 2 + 2 + 6 + 615 + 0 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 28901376 + 1197713664 = 5376^2 + 34608^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1226614995 and 1226615013.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 23143654 + ... + 23143706.

It is an arithmetic number, because the mean of its divisors is an integer number (7951671).

Almost surely, 2^1226615040 is an apocalyptic number.

1226615040 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 1226615040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2576341404).

1226615040 is an abundant number, since it is smaller than the sum of its proper divisors (3926067768).

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

1226615040 is a wasteful number, since it uses less digits than its factorization.

1226615040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1226615040 is about 35023.0644004776. The cubic root of 1226615040 is about 1070.4574979001.

The spelling of 1226615040 in words is "one billion, two hundred twenty-six million, six hundred fifteen thousand, forty".