98612640 has 240 divisors, whose sum is σ = 398103552. Its totient is φ = 22519296.

The previous prime is 98612617. The next prime is 98612651. The reversal of 98612640 is 4621689.

98612640 is a `hidden beast` number, since 9 + 8 + 6 + 1 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 98612595 and 98612604.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 90177 + ... + 91263.

Almost surely, 2^98612640 is an apocalyptic number.

98612640 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 98612640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199051776).

98612640 is an abundant number, since it is smaller than the sum of its proper divisors (299490912).

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

98612640 is a wasteful number, since it uses less digits than its factorization.

98612640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1121 (or 1104 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 98612640 is about 9930.3897204490. The cubic root of 98612640 is about 462.0023612630.

The spelling of 98612640 in words is "ninety-eight million, six hundred twelve thousand, six hundred forty".