1906940400 has 120 divisors (see below), whose sum is σ = 6238719744. Its totient is φ = 497683200.

The previous prime is 1906940359. The next prime is 1906940429. The reversal of 1906940400 is 40496091.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39495 + ... + 73305.

Almost surely, 2^1906940400 is an apocalyptic number.

1906940400 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 1906940400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3119359872).

1906940400 is an abundant number, since it is smaller than the sum of its proper divisors (4331779344).

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

1906940400 is a wasteful number, since it uses less digits than its factorization.

1906940400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33879 (or 33868 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 1906940400 is about 43668.5287134797. The cubic root of 1906940400 is about 1240.0685879508.

The spelling of 1906940400 in words is "one billion, nine hundred six million, nine hundred forty thousand, four hundred".