42696000 has 168 divisors, whose sum is σ = 152988264. Its totient is φ = 11366400.

The previous prime is 42695977. The next prime is 42696001. The reversal of 42696000 is 69624.

It can be written as a sum of positive squares in 4 ways, for example, as 1016064 + 41679936 = 1008^2 + 6456^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42696001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71704 + ... + 72296.

Almost surely, 2^42696000 is an apocalyptic number.

42696000 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 42696000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76494132).

42696000 is an abundant number, since it is smaller than the sum of its proper divisors (110292264).

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

42696000 is a wasteful number, since it uses less digits than its factorization.

42696000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 42696000 is about 6534.2176272298. The cubic root of 42696000 is about 349.5122457595.

The spelling of 42696000 in words is "forty-two million, six hundred ninety-six thousand".