1098072000 has 336 divisors, whose sum is σ = 3993148224. Its totient is φ = 288000000.

The previous prime is 1098071983. The next prime is 1098072011. The reversal of 1098072000 is 2708901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7271925 + ... + 7272075.

Almost surely, 2^1098072000 is an apocalyptic number.

1098072000 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 1098072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1996574112).

1098072000 is an abundant number, since it is smaller than the sum of its proper divisors (2895076224).

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

1098072000 is a wasteful number, since it uses less digits than its factorization.

1098072000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 1098072000 is about 33137.1694627046. The cubic root of 1098072000 is about 1031.6766609180.

The spelling of 1098072000 in words is "one billion, ninety-eight million, seventy-two thousand".