166436040 has 128 divisors (see below), whose sum is σ = 513884160. Its totient is φ = 43110144.

The previous prime is 166436033. The next prime is 166436047. The reversal of 166436040 is 40634661.

It is an interprime number because it is at equal distance from previous prime (166436033) and next prime (166436047).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 166435989 and 166436007.

It is not an unprimeable number, because it can be changed into a prime (166436047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1020999 + ... + 1021161.

It is an arithmetic number, because the mean of its divisors is an integer number (4014720).

Almost surely, 2^166436040 is an apocalyptic number.

166436040 is a gapful number since it is divisible by the number (10) 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 166436040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256942080).

166436040 is an abundant number, since it is smaller than the sum of its proper divisors (347448120).

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

166436040 is a wasteful number, since it uses less digits than its factorization.

166436040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 166436040 is about 12901.0092628445. The cubic root of 166436040 is about 550.0672534840.

It can be divided in two parts, 1664360 and 40, that added together give a triangular number (1664400 = T₁₈₂₄).

The spelling of 166436040 in words is "one hundred sixty-six million, four hundred thirty-six thousand, forty".