896106240 has 432 divisors, whose sum is σ = 3339143808. Its totient is φ = 229920768.

The previous prime is 896106229. The next prime is 896106241. The reversal of 896106240 is 42601698.

896106240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a junction number, because it is equal to n+sod(n) for n = 896106195 and 896106204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (896106241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13374687 + ... + 13374753.

Almost surely, 2^896106240 is an apocalyptic number.

896106240 is a gapful number since it is divisible by the number (80) 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 896106240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1669571904).

896106240 is an abundant number, since it is smaller than the sum of its proper divisors (2443037568).

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

896106240 is an equidigital number, since it uses as much as digits as its factorization.

896106240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 896106240 is about 29935.0336562363. The cubic root of 896106240 is about 964.0950073657.

The spelling of 896106240 in words is "eight hundred ninety-six million, one hundred six thousand, two hundred forty".