11896560 has 240 divisors, whose sum is σ = 45497088. Its totient is φ = 2764800.

The previous prime is 11896553. The next prime is 11896567. The reversal of 11896560 is 6569811.

11896560 is a `hidden beast` number, since 1 + 1 + 8 + 96 + 560 = 666.

11896560 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11896553) and next prime (11896567).

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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11896567) 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, 290140 + ... + 290180.

Almost surely, 2^11896560 is an apocalyptic number.

11896560 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 11896560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22748544).

11896560 is an abundant number, since it is smaller than the sum of its proper divisors (33600528).

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

11896560 is a wasteful number, since it uses less digits than its factorization.

11896560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 11896560 is about 3449.1390230027. The cubic root of 11896560 is about 228.2831201262.

It can be divided in two parts, 118965 and 60, that added together give a square (119025 = 345²).

The spelling of 11896560 in words is "eleven million, eight hundred ninety-six thousand, five hundred sixty".