98274960 has 480 divisors, whose sum is σ = 423401472. Its totient is φ = 19906560.

The previous prime is 98274959. The next prime is 98274961. The reversal of 98274960 is 6947289.

98274960 = T₃₆₅ + T₃₆₆ + ... + T₈₆₀.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (98274959) and next prime (98274961).

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 (98274961) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2656062 + ... + 2656098.

Almost surely, 2^98274960 is an apocalyptic number.

98274960 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 98274960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211700736).

98274960 is an abundant number, since it is smaller than the sum of its proper divisors (325126512).

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

98274960 is a wasteful number, since it uses less digits than its factorization.

98274960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 98274960 is about 9913.3727862923. The cubic root of 98274960 is about 461.4744121377.

The spelling of 98274960 in words is "ninety-eight million, two hundred seventy-four thousand, nine hundred sixty".