905994720 has 240 divisors, whose sum is σ = 3260204640. Its totient is φ = 236860416.

The previous prime is 905994659. The next prime is 905994743. The reversal of 905994720 is 27499509.

905994720 is a `hidden beast` number, since 90 + 5 + 99 + 472 + 0 = 666.

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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 686221 + ... + 687539.

It is an arithmetic number, because the mean of its divisors is an integer number (13584186).

Almost surely, 2^905994720 is an apocalyptic number.

905994720 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 905994720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1630102320).

905994720 is an abundant number, since it is smaller than the sum of its proper divisors (2354209920).

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

905994720 is a wasteful number, since it uses less digits than its factorization.

905994720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1399 (or 1382 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 905994720 is about 30099.7461783318. The cubic root of 905994720 is about 967.6282865765.

The spelling of 905994720 in words is "nine hundred five million, nine hundred ninety-four thousand, seven hundred twenty".