1293232960 has 224 divisors, whose sum is σ = 3410346240. Its totient is φ = 465518592.

The previous prime is 1293232949. The next prime is 1293232961. The reversal of 1293232960 is 692323921.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1293232961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15581079 + ... + 15581161.

It is an arithmetic number, because the mean of its divisors is an integer number (15224760).

Almost surely, 2^1293232960 is an apocalyptic number.

1293232960 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 1293232960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1705173120).

1293232960 is an abundant number, since it is smaller than the sum of its proper divisors (2117113280).

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

1293232960 is a wasteful number, since it uses less digits than its factorization.

1293232960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 37.

The square root of 1293232960 is about 35961.5483537625. The cubic root of 1293232960 is about 1089.4958698950.

The spelling of 1293232960 in words is "one billion, two hundred ninety-three million, two hundred thirty-two thousand, nine hundred sixty".