4136880 has 80 divisors (see below), whose sum is σ = 13999104. Its totient is φ = 1002240.

The previous prime is 4136863. The next prime is 4136887. The reversal of 4136880 is 886314.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×4136880² = 34227552268800, which contains 22 as substring.

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

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (4136887) 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, 1857 + ... + 3423.

Almost surely, 2^4136880 is an apocalyptic number.

4136880 is a gapful number since it is divisible by the number (40) 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 4136880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6999552).

4136880 is an abundant number, since it is smaller than the sum of its proper divisors (9862224).

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

4136880 is a wasteful number, since it uses less digits than its factorization.

4136880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1594 (or 1588 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 4136880 is about 2033.9321522607. The cubic root of 4136880 is about 160.5305305805.

The spelling of 4136880 in words is "four million, one hundred thirty-six thousand, eight hundred eighty".