1098167400 has 288 divisors, whose sum is σ = 4134780000. Its totient is φ = 258854400.

The previous prime is 1098167393. The next prime is 1098167401. The reversal of 1098167400 is 47618901.

1098167400 is a `hidden beast` number, since 1 + 0 + 98 + 167 + 400 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1098167401) 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 71 ways as a sum of consecutive naturals, for example, 731851 + ... + 733349.

It is an arithmetic number, because the mean of its divisors is an integer number (14356875).

Almost surely, 2^1098167400 is an apocalyptic number.

1098167400 is a gapful number since it is divisible by the number (10) 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 1098167400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2067390000).

1098167400 is an abundant number, since it is smaller than the sum of its proper divisors (3036612600).

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

1098167400 is a wasteful number, since it uses less digits than its factorization.

1098167400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1569 (or 1557 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 1098167400 is about 33138.6089026078. The cubic root of 1098167400 is about 1031.7065372538.

The spelling of 1098167400 in words is "one billion, ninety-eight million, one hundred sixty-seven thousand, four hundred".