98769600 has 252 divisors, whose sum is σ = 370550440. Its totient is φ = 24952320.

The previous prime is 98769589. The next prime is 98769631. The reversal of 98769600 is 696789.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5198391 + ... + 5198409.

Almost surely, 2^98769600 is an apocalyptic number.

98769600 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 98769600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185275220).

98769600 is an abundant number, since it is smaller than the sum of its proper divisors (271780840).

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

98769600 is a wasteful number, since it uses less digits than its factorization.

98769600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 98769600 is about 9938.2895912727. The cubic root of 98769600 is about 462.2473516636.

The spelling of 98769600 in words is "ninety-eight million, seven hundred sixty-nine thousand, six hundred".