1267210560 has 672 divisors, whose sum is σ = 5337169920. Its totient is φ = 251596800.

The previous prime is 1267210547. The next prime is 1267210561. The reversal of 1267210560 is 650127621.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1267210561) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16040601 + ... + 16040679.

Almost surely, 2^1267210560 is an apocalyptic number.

1267210560 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 1267210560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2668584960).

1267210560 is an abundant number, since it is smaller than the sum of its proper divisors (4069959360).

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

1267210560 is a wasteful number, since it uses less digits than its factorization.

1267210560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 1267210560 is about 35597.9010617199. The cubic root of 1267210560 is about 1082.1386975222.

It can be divided in two parts, 12672 and 10560, that added together give a palindrome (23232).

The spelling of 1267210560 in words is "one billion, two hundred sixty-seven million, two hundred ten thousand, five hundred sixty".