1242162624 has 112 divisors (see below), whose sum is σ = 3379622400. Its totient is φ = 402456576.

The previous prime is 1242162619. The next prime is 1242162641. The reversal of 1242162624 is 4262612421.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1242162591 and 1242162600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1614912 + ... + 1615680.

It is an arithmetic number, because the mean of its divisors is an integer number (30175200).

Almost surely, 2^1242162624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1242162624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1689811200).

1242162624 is an abundant number, since it is smaller than the sum of its proper divisors (2137459776).

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

1242162624 is a wasteful number, since it uses less digits than its factorization.

1242162624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1010 (or 1000 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 1242162624 is about 35244.3275435920. The cubic root of 1242162624 is about 1074.9612746822.

The spelling of 1242162624 in words is "one billion, two hundred forty-two million, one hundred sixty-two thousand, six hundred twenty-four".