11485740 has 192 divisors, whose sum is σ = 40642560. Its totient is φ = 2365440.

The previous prime is 11485739. The next prime is 11485757. The reversal of 11485740 is 4758411.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 11485698 and 11485707.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 280120 + ... + 280160.

It is an arithmetic number, because the mean of its divisors is an integer number (211680).

Almost surely, 2^11485740 is an apocalyptic number.

11485740 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 11485740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20321280).

11485740 is an abundant number, since it is smaller than the sum of its proper divisors (29156820).

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

11485740 is a wasteful number, since it uses less digits than its factorization.

11485740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 30.

The square root of 11485740 is about 3389.0618170815. The cubic root of 11485740 is about 225.6245364641.

The spelling of 11485740 in words is "eleven million, four hundred eighty-five thousand, seven hundred forty".