1766400060 has 96 divisors (see below), whose sum is σ = 5127091200. Its totient is φ = 454088448.

The previous prime is 1766400029. The next prime is 1766400131. The reversal of 1766400060 is 600046671.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 184266 + ... + 193614.

It is an arithmetic number, because the mean of its divisors is an integer number (53407200).

Almost surely, 2^1766400060 is an apocalyptic number.

1766400060 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 1766400060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2563545600).

1766400060 is an abundant number, since it is smaller than the sum of its proper divisors (3360691140).

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

1766400060 is a wasteful number, since it uses less digits than its factorization.

1766400060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9475 (or 9473 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 1766400060 is about 42028.5624308041. The cubic root of 1766400060 is about 1208.8238599888.

The spelling of 1766400060 in words is "one billion, seven hundred sixty-six million, four hundred thousand, sixty".