1267153680 has 320 divisors, whose sum is σ = 4409717760. Its totient is φ = 299040768.

The previous prime is 1267153661. The next prime is 1267153703. The reversal of 1267153680 is 863517621.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13063392 + ... + 13063488.

It is an arithmetic number, because the mean of its divisors is an integer number (13780368).

Almost surely, 2^1267153680 is an apocalyptic number.

1267153680 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 1267153680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2204858880).

1267153680 is an abundant number, since it is smaller than the sum of its proper divisors (3142564080).

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

1267153680 is a wasteful number, since it uses less digits than its factorization.

1267153680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 1267153680 is about 35597.1021292464. The cubic root of 1267153680 is about 1082.1225063245.

The spelling of 1267153680 in words is "one billion, two hundred sixty-seven million, one hundred fifty-three thousand, six hundred eighty".