40867920 has 120 divisors (see below), whose sum is σ = 141752832. Its totient is φ = 10540800.

The previous prime is 40867913. The next prime is 40867927. The reversal of 40867920 is 2976804.

It is an interprime number because it is at equal distance from previous prime (40867913) and next prime (40867927).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 (40867927) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21405 + ... + 23235.

Almost surely, 2^40867920 is an apocalyptic number.

40867920 is a gapful number since it is divisible by the number (40) 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 40867920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70876416).

40867920 is an abundant number, since it is smaller than the sum of its proper divisors (100884912).

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

40867920 is a wasteful number, since it uses less digits than its factorization.

40867920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1881 (or 1872 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 40867920 is about 6392.8022024774. The cubic root of 40867920 is about 344.4510488578.

The spelling of 40867920 in words is "forty million, eight hundred sixty-seven thousand, nine hundred twenty".