4762560 has 168 divisors, whose sum is σ = 17026128. Its totient is φ = 1126400.

The previous prime is 4762547. The next prime is 4762579. The reversal of 4762560 is 652674.

4762560 = T₂₉₉ + T₃₀₀ + ... + T₃₈₀.

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 23 ways as a sum of consecutive naturals, for example, 116140 + ... + 116180.

It is an arithmetic number, because the mean of its divisors is an integer number (101346).

Almost surely, 2^4762560 is an apocalyptic number.

4762560 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 4762560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8513064).

4762560 is an abundant number, since it is smaller than the sum of its proper divisors (12263568).

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

4762560 is a wasteful number, since it uses less digits than its factorization.

4762560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 4762560 is about 2182.3290311042. The cubic root of 4762560 is about 168.2468027862.

The spelling of 4762560 in words is "four million, seven hundred sixty-two thousand, five hundred sixty".