121673664 has 210 divisors, whose sum is σ = 420441120. Its totient is φ = 34691328.

The previous prime is 121673653. The next prime is 121673683. The reversal of 121673664 is 466376121.

It is a happy number.

It is a super-3 number, since 3×121673664³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 253777 + ... + 254255.

Almost surely, 2^121673664 is an apocalyptic number.

121673664 is a gapful number since it is divisible by the number (14) 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 121673664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210220560).

121673664 is an abundant number, since it is smaller than the sum of its proper divisors (298767456).

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

121673664 is an equidigital number, since it uses as much as digits as its factorization.

121673664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 491 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 121673664 is about 11030.5785886326. The cubic root of 121673664 is about 495.5249527272.

The spelling of 121673664 in words is "one hundred twenty-one million, six hundred seventy-three thousand, six hundred sixty-four".