11764480 has 144 divisors (see below), whose sum is σ = 35025984. Its totient is φ = 3686400.

The previous prime is 11764471. The next prime is 11764507. The reversal of 11764480 is 8446711.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116430 + ... + 116530.

It is an arithmetic number, because the mean of its divisors is an integer number (243236).

Almost surely, 2^11764480 is an apocalyptic number.

11764480 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 11764480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17512992).

11764480 is an abundant number, since it is smaller than the sum of its proper divisors (23261504).

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

11764480 is a wasteful number, since it uses less digits than its factorization.

11764480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 31.

The square root of 11764480 is about 3429.9387749638. The cubic root of 11764480 is about 227.4351463490.

The spelling of 11764480 in words is "eleven million, seven hundred sixty-four thousand, four hundred eighty".