1691106400 has 144 divisors (see below), whose sum is σ = 4409717760. Its totient is φ = 631411200.

The previous prime is 1691106397. The next prime is 1691106407. The reversal of 1691106400 is 46011961.

It is a super-2 number, since 2×1691106400² = 5719681712241920000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1691106407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1078417 + ... + 1079983.

It is an arithmetic number, because the mean of its divisors is an integer number (30623040).

Almost surely, 2^1691106400 is an apocalyptic number.

1691106400 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 1691106400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2204858880).

1691106400 is an abundant number, since it is smaller than the sum of its proper divisors (2718611360).

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

1691106400 is a wasteful number, since it uses less digits than its factorization.

1691106400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1677 (or 1664 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

The square root of 1691106400 is about 41123.0640881732. The cubic root of 1691106400 is about 1191.3983044992.

The spelling of 1691106400 in words is "one billion, six hundred ninety-one million, one hundred six thousand, four hundred".