11870820 has 192 divisors, whose sum is σ = 42336000. Its totient is φ = 2737152.

The previous prime is 11870819. The next prime is 11870849. The reversal of 11870820 is 2807811.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 8.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 133336 + ... + 133424.

It is an arithmetic number, because the mean of its divisors is an integer number (220500).

Almost surely, 2^11870820 is an apocalyptic number.

11870820 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 11870820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21168000).

11870820 is an abundant number, since it is smaller than the sum of its proper divisors (30465180).

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

11870820 is a wasteful number, since it uses less digits than its factorization.

11870820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The square root of 11870820 is about 3445.4056364962. The cubic root of 11870820 is about 228.1183595990.

The spelling of 11870820 in words is "eleven million, eight hundred seventy thousand, eight hundred twenty".