98462592 has 96 divisors (see below), whose sum is σ = 285991680. Its totient is φ = 32514048.

The previous prime is 98462591. The next prime is 98462593. The reversal of 98462592 is 29526489.

It is an interprime number because it is at equal distance from previous prime (98462591) and next prime (98462593).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98462591) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 145968 + ... + 146640.

It is an arithmetic number, because the mean of its divisors is an integer number (2979080).

Almost surely, 2^98462592 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 98462592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142995840).

98462592 is an abundant number, since it is smaller than the sum of its proper divisors (187529088).

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

98462592 is a wasteful number, since it uses less digits than its factorization.

98462592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 820 (or 805 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 98462592 is about 9922.8318538611. The cubic root of 98462592 is about 461.7679162662.

The spelling of 98462592 in words is "ninety-eight million, four hundred sixty-two thousand, five hundred ninety-two".