45780966 has 192 divisors, whose sum is σ = 137479680. Its totient is φ = 10644480.

The previous prime is 45780953. The next prime is 45780979. The reversal of 45780966 is 66908754.

45780966 = T₁₈₂₈ + T₁₈₂₉ + ... + T₁₈₅₄.

It is an interprime number because it is at equal distance from previous prime (45780953) and next prime (45780979).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 683265 + ... + 683331.

It is an arithmetic number, because the mean of its divisors is an integer number (716040).

Almost surely, 2^45780966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45780966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68739840).

45780966 is an abundant number, since it is smaller than the sum of its proper divisors (91698714).

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

45780966 is a wasteful number, since it uses less digits than its factorization.

45780966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 45780966 is about 6766.1633146119. The cubic root of 45780966 is about 357.7351796634.

The spelling of 45780966 in words is "forty-five million, seven hundred eighty thousand, nine hundred sixty-six".