54173664 has 48 divisors (see below), whose sum is σ = 158009040. Its totient is φ = 18057600.

The previous prime is 54173663. The next prime is 54173687. The reversal of 54173664 is 46637145.

It is a happy number.

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

It is a super-3 number, since 3×54173664³ (a number of 24 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54173663) 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, 30487 + ... + 32214.

It is an arithmetic number, because the mean of its divisors is an integer number (3291855).

Almost surely, 2^54173664 is an apocalyptic number.

54173664 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

54173664 is an abundant number, since it is smaller than the sum of its proper divisors (103835376).

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

54173664 is a wasteful number, since it uses less digits than its factorization.

54173664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62720 (or 62706 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 54173664 is about 7360.2760817785. The cubic root of 54173664 is about 378.3810719882.

The spelling of 54173664 in words is "fifty-four million, one hundred seventy-three thousand, six hundred sixty-four".