42293920 has 48 divisors (see below), whose sum is σ = 103154688. Its totient is φ = 16369920.

The previous prime is 42293917. The next prime is 42293929. The reversal of 42293920 is 2939224.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (42293929) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 697 + ... + 9223.

It is an arithmetic number, because the mean of its divisors is an integer number (2149056).

Almost surely, 2^42293920 is an apocalyptic number.

42293920 is a gapful number since it is divisible by the number (40) 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 42293920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51577344).

42293920 is an abundant number, since it is smaller than the sum of its proper divisors (60860768).

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

42293920 is a wasteful number, since it uses less digits than its factorization.

42293920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8573 (or 8565 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 31.

The square root of 42293920 is about 6503.3775839943. The cubic root of 42293920 is about 348.4116325183.

The spelling of 42293920 in words is "forty-two million, two hundred ninety-three thousand, nine hundred twenty".