54689040 has 160 divisors (see below), whose sum is σ = 215343360. Its totient is φ = 12496896.

The previous prime is 54689027. The next prime is 54689081. The reversal of 54689040 is 4098645.

It is a super-2 number, since 2×54689040² = 5981782192243200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 54688986 and 54689004.

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 31 ways as a sum of consecutive naturals, for example, 13312 + ... + 16928.

It is an arithmetic number, because the mean of its divisors is an integer number (1345896).

Almost surely, 2^54689040 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 54689040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107671680).

54689040 is an abundant number, since it is smaller than the sum of its proper divisors (160654320).

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

54689040 is a wasteful number, since it uses less digits than its factorization.

54689040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3646 (or 3634 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 54689040 is about 7395.2038511457. The cubic root of 54689040 is about 379.5771843821.

The spelling of 54689040 in words is "fifty-four million, six hundred eighty-nine thousand, forty".