42698600 has 72 divisors (see below), whose sum is σ = 115508790. Its totient is φ = 14636160.

The previous prime is 42698581. The next prime is 42698609. The reversal of 42698600 is 689624.

It can be written as a sum of positive squares in 3 ways, for example, as 41654116 + 1044484 = 6454^2 + 1022^2 .

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (42698609) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7622 + ... + 11978.

Almost surely, 2^42698600 is an apocalyptic number.

42698600 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 42698600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57754395).

42698600 is an abundant number, since it is smaller than the sum of its proper divisors (72810190).

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

42698600 is a wasteful number, since it uses less digits than its factorization.

42698600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4387 (or 4371 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 42698600 is about 6534.4165768644. The cubic root of 42698600 is about 349.5193402055.

The spelling of 42698600 in words is "forty-two million, six hundred ninety-eight thousand, six hundred".