54601668 has 192 divisors, whose sum is σ = 169344000. Its totient is φ = 15033600.

The previous prime is 54601667. The next prime is 54601691. The reversal of 54601668 is 86610645.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is not an unprimeable number, because it can be changed into a prime (54601667) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 925423 + ... + 925481.

It is an arithmetic number, because the mean of its divisors is an integer number (882000).

Almost surely, 2^54601668 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54601668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84672000).

54601668 is an abundant number, since it is smaller than the sum of its proper divisors (114742332).

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

54601668 is a wasteful number, since it uses less digits than its factorization.

54601668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 54601668 is about 7389.2941476165. The cubic root of 54601668 is about 379.3749373093.

The spelling of 54601668 in words is "fifty-four million, six hundred one thousand, six hundred sixty-eight".