8057742 has 64 divisors (see below), whose sum is σ = 20404224. Its totient is φ = 2060640.

The previous prime is 8057713. The next prime is 8057747. The reversal of 8057742 is 2477508.

It is a super-2 number, since 2×8057742² = 129854412277128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8057747) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49353 + ... + 49515.

It is an arithmetic number, because the mean of its divisors is an integer number (318816).

Almost surely, 2^8057742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8057742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10202112).

8057742 is an abundant number, since it is smaller than the sum of its proper divisors (12346482).

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

8057742 is a wasteful number, since it uses less digits than its factorization.

8057742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293.

The product of its (nonzero) digits is 15680, while the sum is 33.

The square root of 8057742 is about 2838.6162121710. The cubic root of 8057742 is about 200.4800302663.

The spelling of 8057742 in words is "eight million, fifty-seven thousand, seven hundred forty-two".