11761152 has 160 divisors (see below), whose sum is σ = 36664320. Its totient is φ = 3317760.

The previous prime is 11761151. The next prime is 11761157. The reversal of 11761152 is 25116711.

It is a super-3 number, since 3×11761152³ (a number of 22 digits) contains 333 as substring.

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

Its product of digits (420) is a multiple of the sum of its prime factors (84).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11761151) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 379377 + ... + 379407.

It is an arithmetic number, because the mean of its divisors is an integer number (229152).

Almost surely, 2^11761152 is an apocalyptic number.

11761152 is a gapful number since it is divisible by the number (12) 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 11761152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18332160).

11761152 is an abundant number, since it is smaller than the sum of its proper divisors (24903168).

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

11761152 is a wasteful number, since it uses less digits than its factorization.

11761152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 68 counting only the distinct ones).

The product of its digits is 420, while the sum is 24.

The square root of 11761152 is about 3429.4536007942. The cubic root of 11761152 is about 227.4136982966.

Adding to 11761152 its reverse (25116711), we get a palindrome (36877863).

The spelling of 11761152 in words is "eleven million, seven hundred sixty-one thousand, one hundred fifty-two".