Search a number
98672640 = 213351173

98672640 has 224 divisors, whose sum is σ = 349154496. Its totient is φ = 23592960.

The previous prime is 98672633. The next prime is 98672647. The reversal of 98672640 is 4627689.

It is an interprime number because it is at equal distance from previous prime (98672633) and next prime (98672647).

It is a super-3 number, since 3×986726403 (a number of 25 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 98672592 and 98672601.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 584 × 440 × 384.

It is not an unprimeable number, because it can be changed into a prime (98672647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1351644 + ... + 1351716.

Almost surely, 298672640 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 98672640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174577248).

98672640 is an abundant number, since it is smaller than the sum of its proper divisors (250481856).

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

98672640 is a wasteful number, since it uses less digits than its factorization.

98672640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 98672640 is about 9933.4102905296. The cubic root of 98672640 is about 462.0960427003.

The spelling of 98672640 in words is "ninety-eight million, six hundred seventy-two thousand, six hundred forty".