54616440 has 64 divisors (see below), whose sum is σ = 168291360. Its totient is φ = 14169600.

The previous prime is 54616439. The next prime is 54616459. The reversal of 54616440 is 4461645.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 54616398 and 54616407.

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 15 ways as a sum of consecutive naturals, for example, 1711 + ... + 10590.

Almost surely, 2^54616440 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 54616440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84145680).

54616440 is an abundant number, since it is smaller than the sum of its proper divisors (113674920).

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

54616440 is a wasteful number, since it uses less digits than its factorization.

54616440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12352 (or 12348 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 54616440 is about 7390.2936342205. The cubic root of 54616440 is about 379.4091464062.

The spelling of 54616440 in words is "fifty-four million, six hundred sixteen thousand, four hundred forty".