166462560 has 384 divisors, whose sum is σ = 661893120. Its totient is φ = 38707200.

The previous prime is 166462537. The next prime is 166462561. The reversal of 166462560 is 65264661.

It is a happy number.

166462560 is a `hidden beast` number, since 1 + 6 + 646 + 2 + 5 + 6 + 0 = 666.

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 (166462561) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1473064 + ... + 1473176.

It is an arithmetic number, because the mean of its divisors is an integer number (1723680).

Almost surely, 2^166462560 is an apocalyptic number.

166462560 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 166462560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330946560).

166462560 is an abundant number, since it is smaller than the sum of its proper divisors (495430560).

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

166462560 is a wasteful number, since it uses less digits than its factorization.

166462560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 166462560 is about 12902.0370484664. The cubic root of 166462560 is about 550.0964679274.

The spelling of 166462560 in words is "one hundred sixty-six million, four hundred sixty-two thousand, five hundred sixty".