40631616 has 84 divisors (see below), whose sum is σ = 121566432. Its totient is φ = 12950784.

The previous prime is 40631609. The next prime is 40631623. The reversal of 40631616 is 61613604.

40631616 is a `hidden beast` number, since 40 + 6 + 3 + 1 + 616 = 666.

It is an interprime number because it is at equal distance from previous prime (40631609) and next prime (40631623).

It is a zygodrome in base 3.

It is a self number, because there is not a number n which added to its sum of digits gives 40631616.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11715 + ... + 14781.

Almost surely, 2^40631616 is an apocalyptic number.

40631616 is a gapful number since it is divisible by the number (46) 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 40631616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60783216).

40631616 is an abundant number, since it is smaller than the sum of its proper divisors (80934816).

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

40631616 is a wasteful number, since it uses less digits than its factorization.

40631616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3108 (or 3095 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 40631616 is about 6374.2933726022. The cubic root of 40631616 is about 343.7858772030.

It can be divided in two parts, 406316 and 16, that multiplied together give a palindrome (6501056).

The spelling of 40631616 in words is "forty million, six hundred thirty-one thousand, six hundred sixteen".