6106890240 has 480 divisors, whose sum is σ = 23780977920. Its totient is φ = 1474560000.

The previous prime is 6106890227. The next prime is 6106890277. The reversal of 6106890240 is 420986016.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 6106890195 and 6106890204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24330115 + ... + 24330365.

It is an arithmetic number, because the mean of its divisors is an integer number (49543704).

Almost surely, 2^6106890240 is an apocalyptic number.

6106890240 is a gapful number since it is divisible by the number (60) 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 6106890240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11890488960).

6106890240 is an abundant number, since it is smaller than the sum of its proper divisors (17674087680).

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

6106890240 is a wasteful number, since it uses less digits than its factorization.

6106890240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 272 counting only the distinct ones).

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

The square root of 6106890240 is about 78146.5945515222. The cubic root of 6106890240 is about 1827.8478327466.

The spelling of 6106890240 in words is "six billion, one hundred six million, eight hundred ninety thousand, two hundred forty".