40923168 has 144 divisors (see below), whose sum is σ = 127628928. Its totient is φ = 11404800.

The previous prime is 40923163. The next prime is 40923191. The reversal of 40923168 is 86132904.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (40923163) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 150873 + ... + 151143.

It is an arithmetic number, because the mean of its divisors is an integer number (886312).

Almost surely, 2^40923168 is an apocalyptic number.

40923168 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 40923168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63814464).

40923168 is an abundant number, since it is smaller than the sum of its proper divisors (86705760).

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

40923168 is a wasteful number, since it uses less digits than its factorization.

40923168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 40923168 is about 6397.1218528335. The cubic root of 40923168 is about 344.6061963226.

It can be divided in two parts, 4092 and 3168, that added together give a triangular number (7260 = T₁₂₀).

The spelling of 40923168 in words is "forty million, nine hundred twenty-three thousand, one hundred sixty-eight".