5166000 has 240 divisors, whose sum is σ = 21123648. Its totient is φ = 1152000.

The previous prime is 5165999. The next prime is 5166001. The reversal of 5166000 is 6615.

5166000 is a `hidden beast` number, since 5 + 1 + 660 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5165999) and next prime (5166001).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (5166001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 125980 + ... + 126020.

Almost surely, 2^5166000 is an apocalyptic number.

5166000 is a gapful number since it is divisible by the number (50) 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 5166000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10561824).

5166000 is an abundant number, since it is smaller than the sum of its proper divisors (15957648).

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

5166000 is a wasteful number, since it uses less digits than its factorization.

5166000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 5166000 is about 2272.8836309851. The cubic root of 5166000 is about 172.8694037052.

The spelling of 5166000 in words is "five million, one hundred sixty-six thousand".