4761160 has 32 divisors (see below), whose sum is σ = 11005560. Its totient is φ = 1852416.

The previous prime is 4761151. The next prime is 4761203. The reversal of 4761160 is 611674.

4761160 = T₁₂₈ + T₁₂₉ + ... + T₃₁₂.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4761124 + 36 = 2182^2 + 6^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 129 + ... + 3088.

Almost surely, 2^4761160 is an apocalyptic number.

4761160 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 4761160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5502780).

4761160 is an abundant number, since it is smaller than the sum of its proper divisors (6244400).

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

4761160 is a wasteful number, since it uses less digits than its factorization.

4761160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3265 (or 3261 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 4761160 is about 2182.0082492970. The cubic root of 4761160 is about 168.2303152523.

The spelling of 4761160 in words is "four million, seven hundred sixty-one thousand, one hundred sixty".