41979564 has 72 divisors (see below), whose sum is σ = 116520768. Its totient is φ = 12637920.

The previous prime is 41979557. The next prime is 41979583. The reversal of 41979564 is 46597914.

41979564 is a `hidden beast` number, since 4 + 19 + 79 + 564 = 666.

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, 89659 + ... + 90125.

It is an arithmetic number, because the mean of its divisors is an integer number (1618344).

Almost surely, 2^41979564 is an apocalyptic number.

41979564 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 41979564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58260384).

41979564 is an abundant number, since it is smaller than the sum of its proper divisors (74541204).

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

41979564 is a wasteful number, since it uses less digits than its factorization.

41979564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 715 (or 710 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 41979564 is about 6479.1638349404. The cubic root of 41979564 is about 347.5462775005.

The spelling of 41979564 in words is "forty-one million, nine hundred seventy-nine thousand, five hundred sixty-four".