1273633920 has 384 divisors, whose sum is σ = 4821813360. Its totient is φ = 307888128.

The previous prime is 1273633903. The next prime is 1273633927. The reversal of 1273633920 is 293363721.

1273633920 is a `hidden beast` number, since 12 + 7 + 3 + 633 + 9 + 2 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 187799616 + 1085834304 = 13704^2 + 32952^2 .

It is a tau number, because it is divible by the number of its divisors (384).

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

It is not an unprimeable number, because it can be changed into a prime (1273633927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5466124 + ... + 5466356.

Almost surely, 2^1273633920 is an apocalyptic number.

1273633920 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 1273633920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2410906680).

1273633920 is an abundant number, since it is smaller than the sum of its proper divisors (3548179440).

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

1273633920 is a wasteful number, since it uses less digits than its factorization.

1273633920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The square root of 1273633920 is about 35688.0080699386. The cubic root of 1273633920 is about 1083.9640334286.

It can be divided in two parts, 12736 and 33920, that added together give a 6-th power (46656 = 6⁶).

The spelling of 1273633920 in words is "one billion, two hundred seventy-three million, six hundred thirty-three thousand, nine hundred twenty".