54161940 has 96 divisors (see below), whose sum is σ = 177408000. Its totient is φ = 12087936.

The previous prime is 54161923. The next prime is 54161953. The reversal of 54161940 is 4916145.

It is a happy number.

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 = 54161898 and 54161907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16561 + ... + 19559.

It is an arithmetic number, because the mean of its divisors is an integer number (1848000).

Almost surely, 2^54161940 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 54161940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88704000).

54161940 is an abundant number, since it is smaller than the sum of its proper divisors (123246060).

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

54161940 is a wasteful number, since it uses less digits than its factorization.

54161940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3061 (or 3059 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 54161940 is about 7359.4796011675. The cubic root of 54161940 is about 378.3537742238.

It can be divided in two parts, 541 and 61940, that added together give a triangular number (62481 = T₃₅₃).

The spelling of 54161940 in words is "fifty-four million, one hundred sixty-one thousand, nine hundred forty".