45782640 has 60 divisors (see below), whose sum is σ = 153755784. Its totient is φ = 12208512.

The previous prime is 45782623. The next prime is 45782657. The reversal of 45782640 is 4628754.

45782640 is a `hidden beast` number, since 4 + 5 + 7 + 8 + 2 + 640 = 666.

45782640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (45782623) and next prime (45782657).

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a junction number, because it is equal to n+sod(n) for n = 45782595 and 45782604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31074 + ... + 32513.

Almost surely, 2^45782640 is an apocalyptic number.

45782640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45782640 is an abundant number, since it is smaller than the sum of its proper divisors (107973144).

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

45782640 is a wasteful number, since it uses less digits than its factorization.

45782640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63606 (or 63597 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 45782640 is about 6766.2870172643. The cubic root of 45782640 is about 357.7395398553.

The spelling of 45782640 in words is "forty-five million, seven hundred eighty-two thousand, six hundred forty".