98070400 has 96 divisors (see below), whose sum is σ = 255173400. Its totient is φ = 37140480.

The previous prime is 98070377. The next prime is 98070407. The reversal of 98070400 is 407089.

It is a hoax number, since the sum of its digits (28) 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 (98070407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59994 + ... + 61606.

Almost surely, 2^98070400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98070400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127586700).

98070400 is an abundant number, since it is smaller than the sum of its proper divisors (157103000).

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

98070400 is a wasteful number, since it uses less digits than its factorization.

98070400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1656 (or 1639 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 98070400 is about 9903.0500352164. The cubic root of 98070400 is about 461.1540023435.

Adding to 98070400 its reverse (407089), we get a palindrome (98477489).

The spelling of 98070400 in words is "ninety-eight million, seventy thousand, four hundred".