1242792320 has 128 divisors (see below), whose sum is σ = 3704313600. Its totient is φ = 387348480.

The previous prime is 1242792311. The next prime is 1242792323. The reversal of 1242792320 is 232972421.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1242792323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36671 + ... + 61889.

It is an arithmetic number, because the mean of its divisors is an integer number (28939950).

Almost surely, 2^1242792320 is an apocalyptic number.

1242792320 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 1242792320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1852156800).

1242792320 is an abundant number, since it is smaller than the sum of its proper divisors (2461521280).

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

1242792320 is a wasteful number, since it uses less digits than its factorization.

1242792320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25256 (or 25244 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 1242792320 is about 35253.2597074370. The cubic root of 1242792320 is about 1075.1428892450.

The spelling of 1242792320 in words is "one billion, two hundred forty-two million, seven hundred ninety-two thousand, three hundred twenty".