1293034080 has 384 divisors, whose sum is σ = 4619704320. Its totient is φ = 301916160.

The previous prime is 1293034063. The next prime is 1293034091. The reversal of 1293034080 is 804303921.

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

It is a congruent number.

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, 16367481 + ... + 16367559.

It is an arithmetic number, because the mean of its divisors is an integer number (12030480).

Almost surely, 2^1293034080 is an apocalyptic number.

1293034080 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 1293034080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2309852160).

1293034080 is an abundant number, since it is smaller than the sum of its proper divisors (3326670240).

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

1293034080 is a wasteful number, since it uses less digits than its factorization.

1293034080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 1293034080 is about 35958.7830717337. The cubic root of 1293034080 is about 1089.4400176102.

The spelling of 1293034080 in words is "one billion, two hundred ninety-three million, thirty-four thousand, eighty".