1267954560 has 384 divisors, whose sum is σ = 4704860160. Its totient is φ = 325969920.

The previous prime is 1267954547. The next prime is 1267954621. The reversal of 1267954560 is 654597621.

1267954560 is a `hidden beast` number, since 12 + 6 + 79 + 5 + 4 + 560 = 666.

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 (45).

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, 4820989 + ... + 4821251.

It is an arithmetic number, because the mean of its divisors is an integer number (12252240).

Almost surely, 2^1267954560 is an apocalyptic number.

1267954560 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 1267954560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2352430080).

1267954560 is an abundant number, since it is smaller than the sum of its proper divisors (3436905600).

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

1267954560 is an equidigital number, since it uses as much as digits as its factorization.

1267954560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 1267954560 is about 35608.3495826470. The cubic root of 1267954560 is about 1082.3504365189.

The spelling of 1267954560 in words is "one billion, two hundred sixty-seven million, nine hundred fifty-four thousand, five hundred sixty".