40992768 has 96 divisors (see below), whose sum is σ = 119273700. Its totient is φ = 13565952.

The previous prime is 40992767. The next prime is 40992779. The reversal of 40992768 is 86729904.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40992761) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 294843 + ... + 294981.

Almost surely, 2^40992768 is an apocalyptic number.

40992768 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 40992768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59636850).

40992768 is an abundant number, since it is smaller than the sum of its proper divisors (78280932).

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

40992768 is an equidigital number, since it uses as much as digits as its factorization.

40992768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 40992768 is about 6402.5594882047. The cubic root of 40992768 is about 344.8014484501.

The spelling of 40992768 in words is "forty million, nine hundred ninety-two thousand, seven hundred sixty-eight".