1217661792 has 48 divisors (see below), whose sum is σ = 3234893760. Its totient is φ = 400994432.

The previous prime is 1217661787. The next prime is 1217661793. The reversal of 1217661792 is 2971667121.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1217661793) 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, 68442 + ... + 84377.

It is an arithmetic number, because the mean of its divisors is an integer number (67393620).

Almost surely, 2^1217661792 is an apocalyptic number.

1217661792 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1217661792 is an abundant number, since it is smaller than the sum of its proper divisors (2017231968).

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

1217661792 is a wasteful number, since it uses less digits than its factorization.

1217661792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152915 (or 152907 counting only the distinct ones).

The product of its digits is 63504, while the sum is 42.

The square root of 1217661792 is about 34895.0109901115. The cubic root of 1217661792 is about 1067.8466583981.

The spelling of 1217661792 in words is "one billion, two hundred seventeen million, six hundred sixty-one thousand, seven hundred ninety-two".