40167064 has 48 divisors (see below), whose sum is σ = 92237400. Its totient is φ = 16305408.

The previous prime is 40167047. The next prime is 40167067. The reversal of 40167064 is 46076104.

It is a super-2 number, since 2×40167064² = 3226786060760192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40167067) 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, 4752 + ... + 10144.

Almost surely, 2^40167064 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 40167064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46118700).

40167064 is an abundant number, since it is smaller than the sum of its proper divisors (52070336).

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

40167064 is a wasteful number, since it uses less digits than its factorization.

40167064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5432 (or 5421 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 40167064 is about 6337.7491272533. The cubic root of 40167064 is about 342.4706537095.

The spelling of 40167064 in words is "forty million, one hundred sixty-seven thousand, sixty-four".