45067776 has 160 divisors (see below), whose sum is σ = 134970528. Its totient is φ = 13271040.

The previous prime is 45067727. The next prime is 45067793. The reversal of 45067776 is 67776054.

It is a super-2 number, since 2×45067776² = 4062208867172352, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 738786 + ... + 738846.

Almost surely, 2^45067776 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 45067776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67485264).

45067776 is an abundant number, since it is smaller than the sum of its proper divisors (89902752).

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

45067776 is a wasteful number, since it uses less digits than its factorization.

45067776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 42.

The square root of 45067776 is about 6713.2537565625. The cubic root of 45067776 is about 355.8678127252.

The spelling of 45067776 in words is "forty-five million, sixty-seven thousand, seven hundred seventy-six".