40162968 has 96 divisors (see below), whose sum is σ = 115315200. Its totient is φ = 12602304.

The previous prime is 40162963. The next prime is 40162973. The reversal of 40162968 is 86926104.

It is an interprime number because it is at equal distance from previous prime (40162963) and next prime (40162973).

It is a super-2 number, since 2×40162968² = 3226127997138048, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct 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 (40162961) 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, 130671 + ... + 130977.

It is an arithmetic number, because the mean of its divisors is an integer number (1201200).

Almost surely, 2^40162968 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 40162968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57657600).

40162968 is an abundant number, since it is smaller than the sum of its proper divisors (75152232).

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

40162968 is a wasteful number, since it uses less digits than its factorization.

40162968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 40162968 is about 6337.4259758990. The cubic root of 40162968 is about 342.4590122688.

The spelling of 40162968 in words is "forty million, one hundred sixty-two thousand, nine hundred sixty-eight".