1670400180 has 36 divisors (see below), whose sum is σ = 5066881092. Its totient is φ = 445440000.

The previous prime is 1670400107. The next prime is 1670400191. The reversal of 1670400180 is 810040761.

It is a happy number.

1670400180 is a `hidden beast` number, since 16 + 70 + 400 + 180 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 785456676 + 884943504 = 28026^2 + 29748^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1670400180² = 5580473522688064800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4639821 + ... + 4640180.

It is an arithmetic number, because the mean of its divisors is an integer number (140746697).

Almost surely, 2^1670400180 is an apocalyptic number.

1670400180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1670400180 is an abundant number, since it is smaller than the sum of its proper divisors (3396480912).

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

1670400180 is a wasteful number, since it uses less digits than its factorization.

1670400180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9280016 (or 9280011 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 1670400180 is about 40870.5294802991. The cubic root of 1670400180 is about 1186.5157551571.

The spelling of 1670400180 in words is "one billion, six hundred seventy million, four hundred thousand, one hundred eighty".