42767640 has 48 divisors (see below), whose sum is σ = 138996000. Its totient is φ = 11404608.

The previous prime is 42767629. The next prime is 42767653. The reversal of 42767640 is 4676724.

42767640 is a `hidden beast` number, since 4 + 2 + 7 + 6 + 7 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 42767595 and 42767604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59040 + ... + 59759.

It is an arithmetic number, because the mean of its divisors is an integer number (2895750).

Almost surely, 2^42767640 is an apocalyptic number.

42767640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42767640 is an abundant number, since it is smaller than the sum of its proper divisors (96228360).

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

42767640 is a wasteful number, since it uses less digits than its factorization.

42767640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118816 (or 118809 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 42767640 is about 6539.6972406985. The cubic root of 42767640 is about 349.7076197673.

It can be divided in two parts, 427676 and 40, that added together give a square (427716 = 654²).

The spelling of 42767640 in words is "forty-two million, seven hundred sixty-seven thousand, six hundred forty".