1215068400 has 360 divisors, whose sum is σ = 5191091360. Its totient is φ = 256296960.

The previous prime is 1215068389. The next prime is 1215068473. The reversal of 1215068400 is 48605121.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 325746 + ... + 329454.

Almost surely, 2^1215068400 is an apocalyptic number.

1215068400 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 1215068400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2595545680).

1215068400 is an abundant number, since it is smaller than the sum of its proper divisors (3976022960).

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

1215068400 is a wasteful number, since it uses less digits than its factorization.

1215068400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3753 (or 3739 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 1215068400 is about 34857.8312578393. The cubic root of 1215068400 is about 1067.0880149632.

The spelling of 1215068400 in words is "one billion, two hundred fifteen million, sixty-eight thousand, four hundred".