940896000 has 648 divisors, whose sum is σ = 3859210992. Its totient is φ = 228096000.

The previous prime is 940895999. The next prime is 940896049. The reversal of 940896000 is 698049.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

940896000 is a `hidden beast` number, since 9 + 40 + 8 + 9 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 85535995 + ... + 85536005.

Almost surely, 2^940896000 is an apocalyptic number.

940896000 is a gapful number since it is divisible by the number (90) 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 940896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1929605496).

940896000 is an abundant number, since it is smaller than the sum of its proper divisors (2918314992).

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

940896000 is an equidigital number, since it uses as much as digits as its factorization.

940896000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 940896000 is about 30674.0281019627. The cubic root of 940896000 is about 979.8972542567.

The spelling of 940896000 in words is "nine hundred forty million, eight hundred ninety-six thousand".