45968208 has 160 divisors (see below), whose sum is σ = 144074112. Its totient is φ = 12441600.

The previous prime is 45968207. The next prime is 45968213. The reversal of 45968208 is 80286954.

It is a super-2 number, since 2×45968208² = 4226152293462528, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 45968208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45968207) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 253878 + ... + 254058.

Almost surely, 2^45968208 is an apocalyptic number.

45968208 is a gapful number since it is divisible by the number (48) 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 45968208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72037056).

45968208 is an abundant number, since it is smaller than the sum of its proper divisors (98105904).

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

45968208 is a wasteful number, since it uses less digits than its factorization.

45968208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 45968208 is about 6779.9858406932. The cubic root of 45968208 is about 358.2222229634. Note that the first 6 decimals are identical.

The spelling of 45968208 in words is "forty-five million, nine hundred sixty-eight thousand, two hundred eight".