40920768 has 224 divisors, whose sum is σ = 146304000. Its totient is φ = 10948608.

The previous prime is 40920757. The next prime is 40920791. The reversal of 40920768 is 86702904.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 205533 + ... + 205731.

Almost surely, 2^40920768 is an apocalyptic number.

40920768 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 40920768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73152000).

40920768 is an abundant number, since it is smaller than the sum of its proper divisors (105383232).

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

40920768 is a wasteful number, since it uses less digits than its factorization.

40920768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 40920768 is about 6396.9342657245. The cubic root of 40920768 is about 344.5994595434.

The spelling of 40920768 in words is "forty million, nine hundred twenty thousand, seven hundred sixty-eight".