98778240 has 192 divisors, whose sum is σ = 372340800. Its totient is φ = 23930880.

The previous prime is 98778221. The next prime is 98778241. The reversal of 98778240 is 4287789.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is not an unprimeable number, because it can be changed into a prime (98778241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62581 + ... + 64139.

It is an arithmetic number, because the mean of its divisors is an integer number (1939275).

Almost surely, 2^98778240 is an apocalyptic number.

98778240 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 98778240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186170400).

98778240 is an abundant number, since it is smaller than the sum of its proper divisors (273562560).

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

98778240 is a wasteful number, since it uses less digits than its factorization.

98778240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1595 (or 1580 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 98778240 is about 9938.7242642102. The cubic root of 98778240 is about 462.2608298346.

The spelling of 98778240 in words is "ninety-eight million, seven hundred seventy-eight thousand, two hundred forty".