1217164800 has 240 divisors, whose sum is σ = 4163282640. Its totient is φ = 313098240.

The previous prime is 1217164783. The next prime is 1217164841. The reversal of 1217164800 is 84617121.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1113054 + ... + 1114146.

It is an arithmetic number, because the mean of its divisors is an integer number (17347011).

Almost surely, 2^1217164800 is an apocalyptic number.

1217164800 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 1217164800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2081641320).

1217164800 is an abundant number, since it is smaller than the sum of its proper divisors (2946117840).

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

1217164800 is a wasteful number, since it uses less digits than its factorization.

1217164800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1153 (or 1132 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

The square root of 1217164800 is about 34887.8890161041. The cubic root of 1217164800 is about 1067.7013571138.

The spelling of 1217164800 in words is "one billion, two hundred seventeen million, one hundred sixty-four thousand, eight hundred".