42590016 has 168 divisors, whose sum is σ = 145938240. Its totient is φ = 12144384.

The previous prime is 42589993. The next prime is 42590027. The reversal of 42590016 is 61009524.

42590016 = 53³ + 54³ + ... + 115³.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84421 + ... + 84923.

It is an arithmetic number, because the mean of its divisors is an integer number (868680).

Almost surely, 2^42590016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42590016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72969120).

42590016 is an abundant number, since it is smaller than the sum of its proper divisors (103348224).

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

42590016 is a wasteful number, since it uses less digits than its factorization.

42590016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 42590016 is about 6526.1026654505. The cubic root of 42590016 is about 349.2228088218. Note that the first 3 decimals are identical.

The spelling of 42590016 in words is "forty-two million, five hundred ninety thousand, sixteen".