96719040 has 336 divisors, whose sum is σ = 376586496. Its totient is φ = 22579200.

The previous prime is 96719033. The next prime is 96719047. The reversal of 96719040 is 4091769.

96719040 = 1299² + 1300² + ... + 1353².

It is an interprime number because it is at equal distance from previous prime (96719033) and next prime (96719047).

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 = 96718986 and 96719004.

It is not an unprimeable number, because it can be changed into a prime (96719047) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1362205 + ... + 1362275.

Almost surely, 2^96719040 is an apocalyptic number.

96719040 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 96719040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188293248).

96719040 is an abundant number, since it is smaller than the sum of its proper divisors (279867456).

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

96719040 is a wasteful number, since it uses less digits than its factorization.

96719040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 135 counting only the distinct ones).

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

The square root of 96719040 is about 9834.5838752842. The cubic root of 96719040 is about 459.0260426365.

The spelling of 96719040 in words is "ninety-six million, seven hundred nineteen thousand, forty".