11970240 has 112 divisors (see below), whose sum is σ = 39148512. Its totient is φ = 3096576.

The previous prime is 11970221. The next prime is 11970253. The reversal of 11970240 is 4207911.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 11970240.

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 15 ways as a sum of consecutive naturals, for example, 35352 + ... + 35688.

Almost surely, 2^11970240 is an apocalyptic number.

11970240 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 11970240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19574256).

11970240 is an abundant number, since it is smaller than the sum of its proper divisors (27178272).

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

11970240 is a wasteful number, since it uses less digits than its factorization.

11970240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 11970240 is about 3459.8034626262. The cubic root of 11970240 is about 228.7534324189.

The spelling of 11970240 in words is "eleven million, nine hundred seventy thousand, two hundred forty".