42597720 has 192 divisors, whose sum is σ = 156349440. Its totient is φ = 9964800.

The previous prime is 42597713. The next prime is 42597727. The reversal of 42597720 is 2779524.

42597720 is a `hidden beast` number, since 42 + 597 + 7 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (42597713) and next prime (42597727).

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 (42597727) 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, 122587 + ... + 122933.

It is an arithmetic number, because the mean of its divisors is an integer number (814320).

Almost surely, 2^42597720 is an apocalyptic number.

42597720 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 42597720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78174720).

42597720 is an abundant number, since it is smaller than the sum of its proper divisors (113751720).

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

42597720 is a wasteful number, since it uses less digits than its factorization.

42597720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 42597720 is about 6526.6928838425. The cubic root of 42597720 is about 349.2438642284.

The spelling of 42597720 in words is "forty-two million, five hundred ninety-seven thousand, seven hundred twenty".