98192640 has 288 divisors, whose sum is σ = 387346176. Its totient is φ = 20643840.

The previous prime is 98192621. The next prime is 98192641. The reversal of 98192640 is 4629189.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98192641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 349300 + ... + 349580.

It is an arithmetic number, because the mean of its divisors is an integer number (1344952).

Almost surely, 2^98192640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98192640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193673088).

98192640 is an abundant number, since it is smaller than the sum of its proper divisors (289153536).

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

98192640 is a wasteful number, since it uses less digits than its factorization.

98192640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 98192640 is about 9909.2199491181. The cubic root of 98192640 is about 461.3455248281.

The spelling of 98192640 in words is "ninety-eight million, one hundred ninety-two thousand, six hundred forty".