40296768 has 56 divisors (see below), whose sum is σ = 109240320. Its totient is φ = 13102080.

The previous prime is 40296733. The next prime is 40296791. The reversal of 40296768 is 86769204.

It is a super-2 number, since 2×40296768² = 3247659022491648, 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 7 ways as a sum of consecutive naturals, for example, 5313 + ... + 10431.

It is an arithmetic number, because the mean of its divisors is an integer number (1950720).

Almost surely, 2^40296768 is an apocalyptic number.

40296768 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 40296768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54620160).

40296768 is an abundant number, since it is smaller than the sum of its proper divisors (68943552).

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

40296768 is a wasteful number, since it uses less digits than its factorization.

40296768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5175 (or 5165 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 40296768 is about 6347.9735349165. The cubic root of 40296768 is about 342.8388831545.

The spelling of 40296768 in words is "forty million, two hundred ninety-six thousand, seven hundred sixty-eight".