54416640 has 144 divisors (see below), whose sum is σ = 178956288. Its totient is φ = 14082048.

The previous prime is 54416639. The next prime is 54416653. The reversal of 54416640 is 4661445.

It is a super-2 number, since 2×54416640² = 5922341417779200, which contains 22 as substring.

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 = 54416598 and 54416607.

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, 141889 + ... + 142271.

It is an arithmetic number, because the mean of its divisors is an integer number (1242752).

Almost surely, 2^54416640 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 54416640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89478144).

54416640 is an abundant number, since it is smaller than the sum of its proper divisors (124539648).

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

54416640 is a wasteful number, since it uses less digits than its factorization.

54416640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 430 counting only the distinct ones).

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

The square root of 54416640 is about 7376.7635179664. The cubic root of 54416640 is about 378.9459246209.

The spelling of 54416640 in words is "fifty-four million, four hundred sixteen thousand, six hundred forty".