1670400 has 162 divisors, whose sum is σ = 6177990. Its totient is φ = 430080.

The previous prime is 1670399. The next prime is 1670407. The reversal of 1670400 is 40761.

It can be written as a sum of positive squares in 3 ways, for example, as 112896 + 1557504 = 336^2 + 1248^2 .

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

It is a zygodrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1670407) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 57586 + ... + 57614.

2^1670400 is an apocalyptic number.

1670400 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 1670400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3088995).

1670400 is an abundant number, since it is smaller than the sum of its proper divisors (4507590).

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

1670400 is a wasteful number, since it uses less digits than its factorization.

1670400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 1670400 is about 1292.4395537123. The cubic root of 1670400 is about 118.6515712538.

The spelling of 1670400 in words is "one million, six hundred seventy thousand, four hundred".