55667040 has 192 divisors, whose sum is σ = 206260992. Its totient is φ = 12441600.

The previous prime is 55667033. The next prime is 55667047. The reversal of 55667040 is 4076655.

It is an interprime number because it is at equal distance from previous prime (55667033) and next prime (55667047).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 55666992 and 55667010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55667047) by changing a digit.

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, 68235 + ... + 69045.

It is an arithmetic number, because the mean of its divisors is an integer number (1074276).

Almost surely, 2^55667040 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 55667040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103130496).

55667040 is an abundant number, since it is smaller than the sum of its proper divisors (150593952).

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

55667040 is a wasteful number, since it uses less digits than its factorization.

55667040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 853 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

The square root of 55667040 is about 7461.0347807794. The cubic root of 55667040 is about 381.8264793084.

The spelling of 55667040 in words is "fifty-five million, six hundred sixty-seven thousand, forty".