54615672 has 24 divisors (see below), whose sum is σ = 147917640. Its totient is φ = 18205200.

The previous prime is 54615667. The next prime is 54615677. The reversal of 54615672 is 27651645.

It is a happy number.

54615672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (54615667) and next prime (54615677).

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-3 number, since 3×54615672³ (a number of 24 digits) contains 333 as substring.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54615677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 379204 + ... + 379347.

It is an arithmetic number, because the mean of its divisors is an integer number (6163235).

Almost surely, 2^54615672 is an apocalyptic number.

It is an amenable number.

54615672 is an abundant number, since it is smaller than the sum of its proper divisors (93301968).

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

54615672 is a wasteful number, since it uses less digits than its factorization.

54615672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758563 (or 758556 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 54615672 is about 7390.2416739915. The cubic root of 54615672 is about 379.4073680187.

It can be divided in two parts, 5461567 and 2, that added together give a square (5461569 = 2337²).

The spelling of 54615672 in words is "fifty-four million, six hundred fifteen thousand, six hundred seventy-two".