98629632 has 72 divisors (see below), whose sum is σ = 284913720. Its totient is φ = 32870400.

The previous prime is 98629571. The next prime is 98629747. The reversal of 98629632 is 23692689.

98629632 is a `hidden beast` number, since 9 + 8 + 6 + 2 + 9 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15757 + ... + 21107.

It is an arithmetic number, because the mean of its divisors is an integer number (3957135).

Almost surely, 2^98629632 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 98629632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142456860).

98629632 is an abundant number, since it is smaller than the sum of its proper divisors (186284088).

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

98629632 is a wasteful number, since it uses less digits than its factorization.

98629632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5379 (or 5356 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 98629632 is about 9931.2452391430. The cubic root of 98629632 is about 462.0288957021.

The spelling of 98629632 in words is "ninety-eight million, six hundred twenty-nine thousand, six hundred thirty-two".