1269406656 has 336 divisors, whose sum is σ = 4368572416. Its totient is φ = 344881152.

The previous prime is 1269406613. The next prime is 1269406661. The reversal of 1269406656 is 6566049621.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×1269406656² = 3222786516594204672, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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, 9995265 + ... + 9995391.

Almost surely, 2^1269406656 is an apocalyptic number.

1269406656 is a gapful number since it is divisible by the number (16) 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 1269406656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2184286208).

1269406656 is an abundant number, since it is smaller than the sum of its proper divisors (3099165760).

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

1269406656 is a wasteful number, since it uses less digits than its factorization.

1269406656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 1269406656 is about 35628.7335727780. The cubic root of 1269406656 is about 1082.7634579301.

The spelling of 1269406656 in words is "one billion, two hundred sixty-nine million, four hundred six thousand, six hundred fifty-six".