97898400 has 108 divisors (see below), whose sum is σ = 345239622. Its totient is φ = 26104320.

The previous prime is 97898399. The next prime is 97898407. The reversal of 97898400 is 489879.

It can be written as a sum of positive squares in 3 ways, for example, as 49956624 + 47941776 = 7068^2 + 6924^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (97898407) 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, 402 + ... + 13998.

Almost surely, 2^97898400 is an apocalyptic number.

97898400 is a gapful number since it is divisible by the number (90) 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 97898400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172619811).

97898400 is an abundant number, since it is smaller than the sum of its proper divisors (247341222).

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

97898400 is a wasteful number, since it uses less digits than its factorization.

97898400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13623 (or 13607 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 97898400 is about 9894.3620309750. The cubic root of 97898400 is about 460.8842474724.

The spelling of 97898400 in words is "ninety-seven million, eight hundred ninety-eight thousand, four hundred".