1217047680 has 320 divisors, whose sum is σ = 4605293880. Its totient is φ = 305233920.

The previous prime is 1217047627. The next prime is 1217047681. The reversal of 1217047680 is 867407121.

1217047680 is a `hidden beast` number, since 12 + 170 + 476 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1082673216 + 134374464 = 32904^2 + 11592^2 .

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1217047681) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 880590 + ... + 881970.

Almost surely, 2^1217047680 is an apocalyptic number.

1217047680 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 1217047680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2302646940).

1217047680 is an abundant number, since it is smaller than the sum of its proper divisors (3388246200).

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

1217047680 is a wasteful number, since it uses less digits than its factorization.

1217047680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1429 (or 1408 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 1217047680 is about 34886.2104562820. The cubic root of 1217047680 is about 1067.6671099863.

The spelling of 1217047680 in words is "one billion, two hundred seventeen million, forty-seven thousand, six hundred eighty".