42095664 has 120 divisors (see below), whose sum is σ = 128637600. Its totient is φ = 12773376.

The previous prime is 42095653. The next prime is 42095693. The reversal of 42095664 is 46659024.

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

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, 211437 + ... + 211635.

It is an arithmetic number, because the mean of its divisors is an integer number (1071980).

Almost surely, 2^42095664 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 42095664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64318800).

42095664 is an abundant number, since it is smaller than the sum of its proper divisors (86541936).

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

42095664 is a wasteful number, since it uses less digits than its factorization.

42095664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 42095664 is about 6488.1171382767. The cubic root of 42095664 is about 347.8663775538.

The spelling of 42095664 in words is "forty-two million, ninety-five thousand, six hundred sixty-four".