45593064 has 128 divisors (see below), whose sum is σ = 142848000. Its totient is φ = 13348800.

The previous prime is 45593063. The next prime is 45593069. The reversal of 45593064 is 46039554.

It is a happy number.

45593064 is a `hidden beast` number, since 4 + 5 + 593 + 0 + 64 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (45593063) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73347 + ... + 73965.

It is an arithmetic number, because the mean of its divisors is an integer number (1116000).

Almost surely, 2^45593064 is an apocalyptic number.

45593064 is a gapful number since it is divisible by the number (44) 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 45593064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71424000).

45593064 is an abundant number, since it is smaller than the sum of its proper divisors (97254936).

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

45593064 is a wasteful number, since it uses less digits than its factorization.

45593064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 45593064 is about 6752.2636204461. The cubic root of 45593064 is about 357.2450827522.

The spelling of 45593064 in words is "forty-five million, five hundred ninety-three thousand, sixty-four".