1634060400 has 240 divisors, whose sum is σ = 6334665984. Its totient is φ = 351498240.

The previous prime is 1634060399. The next prime is 1634060429. The reversal of 1634060400 is 40604361.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 137079 + ... + 148521.

Almost surely, 2^1634060400 is an apocalyptic number.

1634060400 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 1634060400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3167332992).

1634060400 is an abundant number, since it is smaller than the sum of its proper divisors (4700605584).

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

1634060400 is a wasteful number, since it uses less digits than its factorization.

1634060400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11488 (or 11477 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 1634060400 is about 40423.5129596625. The cubic root of 1634060400 is about 1177.8483244269.

Adding to 1634060400 its reverse (40604361), we get a palindrome (1674664761).

The spelling of 1634060400 in words is "one billion, six hundred thirty-four million, sixty thousand, four hundred".