45950968 has 48 divisors (see below), whose sum is σ = 103967280. Its totient is φ = 18648576.

The previous prime is 45950953. The next prime is 45950981. The reversal of 45950968 is 86905954.

It is a super-2 number, since 2×45950968² = 4222982920274048, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19080 + ... + 21352.

It is an arithmetic number, because the mean of its divisors is an integer number (2165985).

Almost surely, 2^45950968 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 45950968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51983640).

45950968 is an abundant number, since it is smaller than the sum of its proper divisors (58016312).

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

45950968 is a wasteful number, since it uses less digits than its factorization.

45950968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2324 (or 2301 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 46.

The square root of 45950968 is about 6778.7143323790. The cubic root of 45950968 is about 358.1774345933.

The spelling of 45950968 in words is "forty-five million, nine hundred fifty thousand, nine hundred sixty-eight".