40617648 has 60 divisors (see below), whose sum is σ = 114619648. Its totient is φ = 13426560.

The previous prime is 40617631. The next prime is 40617653. The reversal of 40617648 is 84671604.

40617648 is a `hidden beast` number, since 4 + 0 + 6 + 1 + 7 + 648 = 666.

40617648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17178 + ... + 19398.

Almost surely, 2^40617648 is an apocalyptic number.

40617648 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 40617648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57309824).

40617648 is an abundant number, since it is smaller than the sum of its proper divisors (74002000).

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

40617648 is a wasteful number, since it uses less digits than its factorization.

40617648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2362 (or 2353 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 40617648 is about 6373.1976275650. The cubic root of 40617648 is about 343.7464780686.

The spelling of 40617648 in words is "forty million, six hundred seventeen thousand, six hundred forty-eight".