40387968 has 48 divisors (see below), whose sum is σ = 116223900. Its totient is φ = 13462272.

The previous prime is 40387967. The next prime is 40387969. The reversal of 40387968 is 86978304.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (40387967) and next prime (40387969).

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40387967) 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, 16378 + ... + 18681.

Almost surely, 2^40387968 is an apocalyptic number.

40387968 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

40387968 is an abundant number, since it is smaller than the sum of its proper divisors (75835932).

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

40387968 is a wasteful number, since it uses less digits than its factorization.

40387968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35079 (or 35064 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 40387968 is about 6355.1528699159. The cubic root of 40387968 is about 343.0973269410.

The spelling of 40387968 in words is "forty million, three hundred eighty-seven thousand, nine hundred sixty-eight".