698090400 has 648 divisors, whose sum is σ = 3075115680. Its totient is φ = 151165440.

The previous prime is 698090377. The next prime is 698090417. The reversal of 698090400 is 4090896.

It is a tau number, because it is divible by the number of its divisors (648).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 36741591 + ... + 36741609.

Almost surely, 2^698090400 is an apocalyptic number.

698090400 is a gapful number since it is divisible by the number (60) 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 698090400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1537557840).

698090400 is an abundant number, since it is smaller than the sum of its proper divisors (2377025280).

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

698090400 is an equidigital number, since it uses as much as digits as its factorization.

698090400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 698090400 is about 26421.4004170861. The cubic root of 698090400 is about 887.0958657259.

The spelling of 698090400 in words is "six hundred ninety-eight million, ninety thousand, four hundred".