166037040 has 320 divisors, whose sum is σ = 632042880. Its totient is φ = 40310784.

The previous prime is 166037021. The next prime is 166037083. The reversal of 166037040 is 40730661.

166037040 is a `hidden beast` number, since 16 + 603 + 7 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 166036995 and 166037013.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2274444 + ... + 2274516.

It is an arithmetic number, because the mean of its divisors is an integer number (1975134).

Almost surely, 2^166037040 is an apocalyptic number.

166037040 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 166037040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316021440).

166037040 is an abundant number, since it is smaller than the sum of its proper divisors (466005840).

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

166037040 is an equidigital number, since it uses as much as digits as its factorization.

166037040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 166037040 is about 12885.5360773233. The cubic root of 166037040 is about 549.6273398425.

The spelling of 166037040 in words is "one hundred sixty-six million, thirty-seven thousand, forty".