1242760032 has 72 divisors (see below), whose sum is σ = 3554669664. Its totient is φ = 411842304.

The previous prime is 1242760031. The next prime is 1242760039. The reversal of 1242760032 is 2300672421.

1242760032 is a `hidden beast` number, since 1 + 2 + 4 + 27 + 600 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 1242759978 and 1242760005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1242760031) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37353 + ... + 62295.

It is an arithmetic number, because the mean of its divisors is an integer number (49370412).

Almost surely, 2^1242760032 is an apocalyptic number.

1242760032 is a gapful number since it is divisible by the number (12) 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 1242760032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1777334832).

1242760032 is an abundant number, since it is smaller than the sum of its proper divisors (2311909632).

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

1242760032 is a wasteful number, since it uses less digits than its factorization.

1242760032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25132 (or 25121 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 1242760032 is about 35252.8017609948. The cubic root of 1242760032 is about 1075.1335783532.

The spelling of 1242760032 in words is "one billion, two hundred forty-two million, seven hundred sixty thousand, thirty-two".