1217536960 has 56 divisors (see below), whose sum is σ = 2934254736. Its totient is φ = 481136640.

The previous prime is 1217536933. The next prime is 1217536963. The reversal of 1217536960 is 696357121.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1217536963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3640 + ... + 49480.

It is an arithmetic number, because the mean of its divisors is an integer number (52397406).

Almost surely, 2^1217536960 is an apocalyptic number.

1217536960 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 1217536960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1467127368).

1217536960 is an abundant number, since it is smaller than the sum of its proper divisors (1716717776).

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

1217536960 is an equidigital number, since it uses as much as digits as its factorization.

1217536960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45941 (or 45931 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 40.

The square root of 1217536960 is about 34893.2222645029. Note that the first 4 decimals coincide. The cubic root of 1217536960 is about 1067.8101660566.

The spelling of 1217536960 in words is "one billion, two hundred seventeen million, five hundred thirty-six thousand, nine hundred sixty".