40267968 has 168 divisors, whose sum is σ = 123828048. Its totient is φ = 11501568.

The previous prime is 40267949. The next prime is 40267987. The reversal of 40267968 is 86976204.

It is an interprime number because it is at equal distance from previous prime (40267949) and next prime (40267987).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 551580 + ... + 551652.

Almost surely, 2^40267968 is an apocalyptic number.

40267968 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 40267968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61914024).

40267968 is an abundant number, since it is smaller than the sum of its proper divisors (83560080).

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

40267968 is a wasteful number, since it uses less digits than its factorization.

40267968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 108 counting only the distinct ones).

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

The square root of 40267968 is about 6345.7046890003. The cubic root of 40267968 is about 342.7571883230.

The spelling of 40267968 in words is "forty million, two hundred sixty-seven thousand, nine hundred sixty-eight".