40676064 has 96 divisors (see below), whose sum is σ = 125483904. Its totient is φ = 11374080.

The previous prime is 40676063. The next prime is 40676071. The reversal of 40676064 is 46067604.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40676063) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12247 + ... + 15209.

It is an arithmetic number, because the mean of its divisors is an integer number (1307124).

Almost surely, 2^40676064 is an apocalyptic number.

40676064 is a gapful number since it is divisible by the number (44) 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 40676064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62741952).

40676064 is an abundant number, since it is smaller than the sum of its proper divisors (84807840).

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

40676064 is a wasteful number, since it uses less digits than its factorization.

40676064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3000 (or 2992 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 40676064 is about 6377.7789237320. The cubic root of 40676064 is about 343.9111903426.

The spelling of 40676064 in words is "forty million, six hundred seventy-six thousand, sixty-four".