99671040 has 352 divisors, whose sum is σ = 408744960. Its totient is φ = 22560768.

The previous prime is 99671021. The next prime is 99671059. The reversal of 99671040 is 4017699.

99671040 = 103² + 104² + ... + 669².

99671040 = 39³ + 40³ + ... + 141³.

It is an interprime number because it is at equal distance from previous prime (99671021) and next prime (99671059).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 99670986 and 99671004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 967629 + ... + 967731.

Almost surely, 2^99671040 is an apocalyptic number.

99671040 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 99671040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204372480).

99671040 is an abundant number, since it is smaller than the sum of its proper divisors (309073920).

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

99671040 is a wasteful number, since it uses less digits than its factorization.

99671040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 99671040 is about 9983.5384508700. The cubic root of 99671040 is about 463.6493585537.

The spelling of 99671040 in words is "ninety-nine million, six hundred seventy-one thousand, forty".