98957040 has 320 divisors, whose sum is σ = 395974656. Its totient is φ = 19869696.

The previous prime is 98957029. The next prime is 98957069. The reversal of 98957040 is 4075989.

98957040 = 1743² + 1744² + ... + 1774².

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 98956983 and 98957001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 502222 + ... + 502418.

Almost surely, 2^98957040 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 98957040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197987328).

98957040 is an abundant number, since it is smaller than the sum of its proper divisors (297017616).

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

98957040 is a wasteful number, since it uses less digits than its factorization.

98957040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The square root of 98957040 is about 9947.7153155888. The cubic root of 98957040 is about 462.5395768421.

The spelling of 98957040 in words is "ninety-eight million, nine hundred fifty-seven thousand, forty".