40963680 has 72 divisors (see below), whose sum is σ = 139793472. Its totient is φ = 10923264.

The previous prime is 40963673. The next prime is 40963687. The reversal of 40963680 is 8636904.

It is an interprime number because it is at equal distance from previous prime (40963673) and next prime (40963687).

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40963687) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12784 + ... + 15663.

It is an arithmetic number, because the mean of its divisors is an integer number (1941576).

Almost surely, 2^40963680 is an apocalyptic number.

40963680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40963680 is an abundant number, since it is smaller than the sum of its proper divisors (98829792).

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

40963680 is a wasteful number, since it uses less digits than its factorization.

40963680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28468 (or 28457 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 40963680 is about 6400.2874935428. The cubic root of 40963680 is about 344.7198734288.

It can be divided in two parts, 4096 and 3680, that added together give a 5-th power (7776 = 6⁵).

The spelling of 40963680 in words is "forty million, nine hundred sixty-three thousand, six hundred eighty".