42077574 has 72 divisors (see below), whose sum is σ = 115720488. Its totient is φ = 10926720.

The previous prime is 42077573. The next prime is 42077587. The reversal of 42077574 is 47577024.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42077573) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7534 + ... + 11870.

It is an arithmetic number, because the mean of its divisors is an integer number (1607229).

Almost surely, 2^42077574 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42077574, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57860244).

42077574 is an abundant number, since it is smaller than the sum of its proper divisors (73642914).

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

42077574 is a wasteful number, since it uses less digits than its factorization.

42077574 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4370 (or 4360 counting only the distinct ones).

The product of its (nonzero) digits is 54880, while the sum is 36.

The square root of 42077574 is about 6486.7229014349. The cubic root of 42077574 is about 347.8165402402.

It can be divided in two parts, 4207 and 7574, that added together give a triangular number (11781 = T₁₅₃).

The spelling of 42077574 in words is "forty-two million, seventy-seven thousand, five hundred seventy-four".