45940608 has 192 divisors, whose sum is σ = 157422720. Its totient is φ = 13063680.

The previous prime is 45940607. The next prime is 45940619. The reversal of 45940608 is 80604954.

45940608 is a `hidden beast` number, since 4 + 5 + 9 + 40 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×45940608² = 4221078926819328, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45940603) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 217623 + ... + 217833.

It is an arithmetic number, because the mean of its divisors is an integer number (819910).

Almost surely, 2^45940608 is an apocalyptic number.

45940608 is a gapful number since it is divisible by the number (48) 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 45940608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78711360).

45940608 is an abundant number, since it is smaller than the sum of its proper divisors (111482112).

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

45940608 is an equidigital number, since it uses as much as digits as its factorization.

45940608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 223 counting only the distinct ones).

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

The square root of 45940608 is about 6777.9501325991. The cubic root of 45940608 is about 358.1505146154.

The spelling of 45940608 in words is "forty-five million, nine hundred forty thousand, six hundred eight".