45926640 has 120 divisors (see below), whose sum is σ = 155467728. Its totient is φ = 12149760.

The previous prime is 45926611. The next prime is 45926651. The reversal of 45926640 is 4662954.

45926640 is a `hidden beast` number, since 4 + 5 + 9 + 2 + 6 + 640 = 666.

45926640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

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 = 45926595 and 45926604.

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 23 ways as a sum of consecutive naturals, for example, 163300 + ... + 163580.

Almost surely, 2^45926640 is an apocalyptic number.

45926640 is a gapful number since it is divisible by the number (40) 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 45926640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77733864).

45926640 is an abundant number, since it is smaller than the sum of its proper divisors (109541088).

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

45926640 is a wasteful number, since it uses less digits than its factorization.

45926640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 45926640 is about 6776.9196542382. The cubic root of 45926640 is about 358.1142130099.

The spelling of 45926640 in words is "forty-five million, nine hundred twenty-six thousand, six hundred forty".