54146916 has 54 divisors (see below), whose sum is σ = 139201062. Its totient is φ = 17746560.

The previous prime is 54146891. The next prime is 54146923. The reversal of 54146916 is 61964145.

It can be written as a sum of positive squares in only one way, i.e., 50552100 + 3594816 = 7110^2 + 1896^2 .

It is a super-2 number, since 2×54146916² = 5863777024622112, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 224556 + ... + 224796.

Almost surely, 2^54146916 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 54146916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69600531).

54146916 is an abundant number, since it is smaller than the sum of its proper divisors (85054146).

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

54146916 is a wasteful number, since it uses less digits than its factorization.

54146916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 325 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 54146916 is about 7358.4588060273. The cubic root of 54146916 is about 378.3187870921.

The spelling of 54146916 in words is "fifty-four million, one hundred forty-six thousand, nine hundred sixteen".