45626760 has 128 divisors (see below), whose sum is σ = 154224000. Its totient is φ = 11996928.

The previous prime is 45626753. The next prime is 45626783. The reversal of 45626760 is 6762654.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89386 + ... + 89894.

It is an arithmetic number, because the mean of its divisors is an integer number (1204875).

Almost surely, 2^45626760 is an apocalyptic number.

45626760 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 45626760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77112000).

45626760 is an abundant number, since it is smaller than the sum of its proper divisors (108597240).

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

45626760 is a wasteful number, since it uses less digits than its factorization.

45626760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 45626760 is about 6754.7583228418. The cubic root of 45626760 is about 357.3330695711. Note that the first 3 decimals are identical.

The spelling of 45626760 in words is "forty-five million, six hundred twenty-six thousand, seven hundred sixty".