98874000 has 160 divisors (see below), whose sum is σ = 354382080. Its totient is φ = 26352000.

The previous prime is 98873993. The next prime is 98874011. The reversal of 98874000 is 47889.

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

It is a nialpdrome in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53085 + ... + 54915.

It is an arithmetic number, because the mean of its divisors is an integer number (2214888).

Almost surely, 2^98874000 is an apocalyptic number.

98874000 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 98874000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177191040).

98874000 is an abundant number, since it is smaller than the sum of its proper divisors (255508080).

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

98874000 is a wasteful number, since it uses less digits than its factorization.

98874000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1863 (or 1841 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 98874000 is about 9943.5406169030. The cubic root of 98874000 is about 462.4101602953.

The spelling of 98874000 in words is "ninety-eight million, eight hundred seventy-four thousand".