40706964 has 72 divisors (see below), whose sum is σ = 108343872. Its totient is φ = 12862080.

The previous prime is 40706957. The next prime is 40706971. The reversal of 40706964 is 46960704.

40706964 = T₂₁₁ + T₂₁₂ + ... + T₆₃₂.

It is an interprime number because it is at equal distance from previous prime (40706957) and next prime (40706971).

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

It is a congruent number.

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, 174592 + ... + 174824.

It is an arithmetic number, because the mean of its divisors is an integer number (1504776).

Almost surely, 2^40706964 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40706964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54171936).

40706964 is an abundant number, since it is smaller than the sum of its proper divisors (67636908).

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

40706964 is a wasteful number, since it uses less digits than its factorization.

40706964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 40706964 is about 6380.2009372746. The cubic root of 40706964 is about 343.9982535516.

The spelling of 40706964 in words is "forty million, seven hundred six thousand, nine hundred sixty-four".