762642 has 32 divisors (see below), whose sum is σ = 1756800. Its totient is φ = 244944.

The previous prime is 762599. The next prime is 762647. The reversal of 762642 is 246267.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (762647) by changing a digit.

762642 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1323 + ... + 1809.

It is an arithmetic number, because the mean of its divisors is an integer number (54900).

2⁷⁶²⁶⁴² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 762642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (878400).

762642 is an abundant number, since it is smaller than the sum of its proper divisors (994158).

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

762642 is a wasteful number, since it uses less digits than its factorization.

762642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 521 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 762642 is about 873.2937650069. The cubic root of 762642 is about 91.3636776767.

The spelling of 762642 in words is "seven hundred sixty-two thousand, six hundred forty-two".