40668600 has 192 divisors, whose sum is σ = 150704640. Its totient is φ = 8870400.

The previous prime is 40668599. The next prime is 40668629. The reversal of 40668600 is 686604.

It is a happy number.

40668600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 96390 + ... + 96810.

It is an arithmetic number, because the mean of its divisors is an integer number (784920).

Almost surely, 2^40668600 is an apocalyptic number.

40668600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40668600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75352320).

40668600 is an abundant number, since it is smaller than the sum of its proper divisors (110036040).

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

40668600 is a wasteful number, since it uses less digits than its factorization.

40668600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 40668600 is about 6377.1937401964. The cubic root of 40668600 is about 343.8901533174.

It can be divided in two parts, 406 and 68600, that added together give a triangular number (69006 = T₃₇₁).

The spelling of 40668600 in words is "forty million, six hundred sixty-eight thousand, six hundred".