1640100 has 144 divisors (see below), whose sum is σ = 5999616. Its totient is φ = 336000.

The previous prime is 1640083. The next prime is 1640131. The reversal of 1640100 is 10461.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23065 + ... + 23135.

It is an arithmetic number, because the mean of its divisors is an integer number (41664).

2^1640100 is an apocalyptic number.

1640100 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 1640100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2999808).

1640100 is an abundant number, since it is smaller than the sum of its proper divisors (4359516).

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

1640100 is a wasteful number, since it uses less digits than its factorization.

1640100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1640100 is about 1280.6638903319. The cubic root of 1640100 is about 117.9297676485.

Adding to 1640100 its reverse (10461), we get a palindrome (1650561).

The spelling of 1640100 in words is "one million, six hundred forty thousand, one hundred".