42698000 has 80 divisors (see below), whose sum is σ = 106217904. Its totient is φ = 16588800.

The previous prime is 42697979. The next prime is 42698021. The reversal of 42698000 is 89624.

It is an interprime number because it is at equal distance from previous prime (42697979) and next prime (42698021).

It can be written as a sum of positive squares in 8 ways, for example, as 30976 + 42667024 = 176^2 + 6532^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73712 + ... + 74288.

Almost surely, 2^42698000 is an apocalyptic number.

42698000 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 42698000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53108952).

42698000 is an abundant number, since it is smaller than the sum of its proper divisors (63519904).

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

42698000 is a wasteful number, since it uses less digits than its factorization.

42698000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 42698000 is about 6534.3706659479. The cubic root of 42698000 is about 349.5177030512.

The spelling of 42698000 in words is "forty-two million, six hundred ninety-eight thousand".