45368064 has 216 divisors, whose sum is σ = 156243360. Its totient is φ = 12386304.

The previous prime is 45368027. The next prime is 45368069. The reversal of 45368064 is 46086354.

It is a super-2 number, since 2×45368064² = 4116522462216192, which contains 22 as substring.

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 (45368069) 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, 467664 + ... + 467760.

Almost surely, 2^45368064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45368064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78121680).

45368064 is an abundant number, since it is smaller than the sum of its proper divisors (110875296).

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

45368064 is a wasteful number, since it uses less digits than its factorization.

45368064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 45368064 is about 6735.5819347700. The cubic root of 45368064 is about 356.6564498583.

It can be divided in two parts, 4536 and 8064, that multiplied together give a square (36578304 = 6048²).

The spelling of 45368064 in words is "forty-five million, three hundred sixty-eight thousand, sixty-four".