1296074880 has 192 divisors, whose sum is σ = 4531101120. Its totient is φ = 341329920.

The previous prime is 1296074839. The next prime is 1296074893. The reversal of 1296074880 is 884706921.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 476725 + ... + 479435.

It is an arithmetic number, because the mean of its divisors is an integer number (23599485).

Almost surely, 2^1296074880 is an apocalyptic number.

1296074880 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 1296074880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2265550560).

1296074880 is an abundant number, since it is smaller than the sum of its proper divisors (3235026240).

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

1296074880 is a wasteful number, since it uses less digits than its factorization.

1296074880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2819 (or 2804 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 1296074880 is about 36001.0399849782. The cubic root of 1296074880 is about 1090.2933531329.

The spelling of 1296074880 in words is "one billion, two hundred ninety-six million, seventy-four thousand, eight hundred eighty".