45768090 has 64 divisors (see below), whose sum is σ = 117365760. Its totient is φ = 11397120.

The previous prime is 45768089. The next prime is 45768139. The reversal of 45768090 is 9086754.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26122 + ... + 27818.

It is an arithmetic number, because the mean of its divisors is an integer number (1833840).

Almost surely, 2^45768090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45768090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58682880).

45768090 is an abundant number, since it is smaller than the sum of its proper divisors (71597670).

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

45768090 is a wasteful number, since it uses less digits than its factorization.

45768090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1767.

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 45768090 is about 6765.2117483490. The cubic root of 45768090 is about 357.7016385766.

The spelling of 45768090 in words is "forty-five million, seven hundred sixty-eight thousand, ninety".