42689790 has 192 divisors, whose sum is σ = 135862272. Its totient is φ = 9158400.

The previous prime is 42689761. The next prime is 42689791. The reversal of 42689790 is 9798624.

It is a happy number.

It is a super-3 number, since 3×42689790³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42689791) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 398917 + ... + 399023.

It is an arithmetic number, because the mean of its divisors is an integer number (707616).

Almost surely, 2^42689790 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42689790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67931136).

42689790 is an abundant number, since it is smaller than the sum of its proper divisors (93172482).

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

42689790 is a wasteful number, since it uses less digits than its factorization.

42689790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 42689790 is about 6533.7424191653. The cubic root of 42689790 is about 349.4952997827.

The spelling of 42689790 in words is "forty-two million, six hundred eighty-nine thousand, seven hundred ninety".