1293932880 has 200 divisors, whose sum is σ = 4518574632. Its totient is φ = 343166976.

The previous prime is 1293932869. The next prime is 1293932881. The reversal of 1293932880 is 882393921.

It can be written as a sum of positive squares in 4 ways, for example, as 213627456 + 1080305424 = 14616^2 + 32868^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1293932881) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1509412 + ... + 1510268.

Almost surely, 2^1293932880 is an apocalyptic number.

1293932880 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 1293932880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2259287316).

1293932880 is an abundant number, since it is smaller than the sum of its proper divisors (3224641752).

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

1293932880 is a wasteful number, since it uses less digits than its factorization.

1293932880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1115 (or 1100 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 1293932880 is about 35971.2785427485. The cubic root of 1293932880 is about 1089.6923857701.

The spelling of 1293932880 in words is "one billion, two hundred ninety-three million, nine hundred thirty-two thousand, eight hundred eighty".