1262096640 has 720 divisors, whose sum is σ = 5413427712. Its totient is φ = 274710528.

The previous prime is 1262096623. The next prime is 1262096659. The reversal of 1262096640 is 466902621.

1262096640 is a `hidden beast` number, since 1 + 2 + 6 + 2 + 0 + 9 + 6 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a junction number, because it is equal to n+sod(n) for n = 1262096595 and 1262096604.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 26853097 + ... + 26853143.

Almost surely, 2^1262096640 is an apocalyptic number.

1262096640 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 1262096640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2706713856).

1262096640 is an abundant number, since it is smaller than the sum of its proper divisors (4151331072).

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

1262096640 is an equidigital number, since it uses as much as digits as its factorization.

1262096640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 1262096640 is about 35525.9994933288. Note that the first 3 decimals coincide. The cubic root of 1262096640 is about 1080.6810519174.

Adding to 1262096640 its sum of digits (36), we get a square (1262096676 = 35526²).

The spelling of 1262096640 in words is "one billion, two hundred sixty-two million, ninety-six thousand, six hundred forty".