42077024 has 36 divisors (see below), whose sum is σ = 91062972. Its totient is φ = 19124160.

The previous prime is 42077003. The next prime is 42077027.

42077024 is nontrivially palindromic in base 10.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 42076984 and 42077002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42077027) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1562 + ... + 9305.

It is an arithmetic number, because the mean of its divisors is an integer number (2529527).

Almost surely, 2^42077024 is an apocalyptic number.

42077024 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42077024 is an abundant number, since it is smaller than the sum of its proper divisors (48985948).

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

42077024 is a wasteful number, since it uses less digits than its factorization.

42077024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10899 (or 10880 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 26.

The square root of 42077024 is about 6486.6805070082. The cubic root of 42077024 is about 347.8150247859.

The spelling of 42077024 in words is "forty-two million, seventy-seven thousand, twenty-four".