1906536000 has 448 divisors, whose sum is σ = 6866046720. Its totient is φ = 464486400.

The previous prime is 1906535989. The next prime is 1906536061. The reversal of 1906536000 is 6356091.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16871944 + ... + 16872056.

Almost surely, 2^1906536000 is an apocalyptic number.

1906536000 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 1906536000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3433023360).

1906536000 is an abundant number, since it is smaller than the sum of its proper divisors (4959510720).

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

1906536000 is a wasteful number, since it uses less digits than its factorization.

1906536000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 30.

The square root of 1906536000 is about 43663.8981310648. The cubic root of 1906536000 is about 1239.9809223565.

The spelling of 1906536000 in words is "one billion, nine hundred six million, five hundred thirty-six thousand".