1042567920 has 240 divisors, whose sum is σ = 3685960512. Its totient is φ = 263577600.

The previous prime is 1042567919. The next prime is 1042567921. The reversal of 1042567920 is 297652401.

1042567920 is a `hidden beast` number, since 1 + 0 + 4 + 2 + 567 + 92 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1042567919) and next prime (1042567921).

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1042567921) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2599720 + ... + 2600120.

Almost surely, 2^1042567920 is an apocalyptic number.

1042567920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1042567920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1842980256).

1042567920 is an abundant number, since it is smaller than the sum of its proper divisors (2643392592).

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

1042567920 is a wasteful number, since it uses less digits than its factorization.

1042567920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 1042567920 is about 32288.8203562781. The cubic root of 1042567920 is about 1013.9926005786.

The spelling of 1042567920 in words is "one billion, forty-two million, five hundred sixty-seven thousand, nine hundred twenty".