42950688 has 96 divisors (see below), whose sum is σ = 124649280. Its totient is φ = 12840960.

The previous prime is 42950671. The next prime is 42950689. The reversal of 42950688 is 88605924.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (42950689) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93756 + ... + 94212.

It is an arithmetic number, because the mean of its divisors is an integer number (1298430).

Almost surely, 2^42950688 is an apocalyptic number.

42950688 is a gapful number since it is divisible by the number (48) 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 42950688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62324640).

42950688 is an abundant number, since it is smaller than the sum of its proper divisors (81698592).

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

42950688 is a wasteful number, since it uses less digits than its factorization.

42950688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 42950688 is about 6553.6774409487. The cubic root of 42950688 is about 350.2058326689.

The spelling of 42950688 in words is "forty-two million, nine hundred fifty thousand, six hundred eighty-eight".