45562608 has 320 divisors, whose sum is σ = 172211200. Its totient is φ = 11197440.

The previous prime is 45562607. The next prime is 45562637. The reversal of 45562608 is 80626554.

45562608 is a `hidden beast` number, since 45 + 5 + 6 + 2 + 608 = 666.

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 (45562607) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 746898 + ... + 746958.

It is an arithmetic number, because the mean of its divisors is an integer number (538160).

Almost surely, 2^45562608 is an apocalyptic number.

45562608 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 45562608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86105600).

45562608 is an abundant number, since it is smaller than the sum of its proper divisors (126648592).

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

45562608 is a wasteful number, since it uses less digits than its factorization.

45562608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 45562608 is about 6750.0079999953. The cubic root of 45562608 is about 357.1655188973.

The spelling of 45562608 in words is "forty-five million, five hundred sixty-two thousand, six hundred eight".