11763480 has 64 divisors (see below), whose sum is σ = 35562240. Its totient is φ = 3112832.

The previous prime is 11763457. The next prime is 11763491. The reversal of 11763480 is 8436711.

It is a happy number.

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

It is a congruent number.

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, 19747 + ... + 20333.

It is an arithmetic number, because the mean of its divisors is an integer number (555660).

Almost surely, 2^11763480 is an apocalyptic number.

11763480 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 11763480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17781120).

11763480 is an abundant number, since it is smaller than the sum of its proper divisors (23798760).

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

11763480 is a wasteful number, since it uses less digits than its factorization.

11763480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 768 (or 764 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 11763480 is about 3429.7929966690. The cubic root of 11763480 is about 227.4287020469.

It can be divided in two parts, 1176 and 3480, that added together give a triangular number (4656 = T₉₆).

The spelling of 11763480 in words is "eleven million, seven hundred sixty-three thousand, four hundred eighty".