45668640 has 48 divisors (see below), whose sum is σ = 143857728. Its totient is φ = 12178176.

The previous prime is 45668633. The next prime is 45668641. The reversal of 45668640 is 4686654.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45668641) 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 7 ways as a sum of consecutive naturals, for example, 47092 + ... + 48051.

It is an arithmetic number, because the mean of its divisors is an integer number (2997036).

Almost surely, 2^45668640 is an apocalyptic number.

45668640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45668640 is an abundant number, since it is smaller than the sum of its proper divisors (98189088).

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

45668640 is a wasteful number, since it uses less digits than its factorization.

45668640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95161 (or 95153 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The square root of 45668640 is about 6757.8576486931. The cubic root of 45668640 is about 357.4423660494.

It can be divided in two parts, 456 and 68640, that added together give a palindrome (69096).

The spelling of 45668640 in words is "forty-five million, six hundred sixty-eight thousand, six hundred forty".