96215040 has 280 divisors, whose sum is σ = 356821740. Its totient is φ = 24772608.

The previous prime is 96215039. The next prime is 96215071. The reversal of 96215040 is 4051269.

It can be written as a sum of positive squares in 2 ways, for example, as 95883264 + 331776 = 9792^2 + 576^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 96214995 and 96215013.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3317746 + ... + 3317774.

Almost surely, 2^96215040 is an apocalyptic number.

96215040 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 96215040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178410870).

96215040 is an abundant number, since it is smaller than the sum of its proper divisors (260606700).

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

96215040 is an equidigital number, since it uses as much as digits as its factorization.

96215040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 96215040 is about 9808.9265467736. The cubic root of 96215040 is about 458.2273300493.

96215040 divided by its product of nonzero digits (2160) gives a palindrome (44544).

It can be divided in two parts, 9 and 6215040, that added together give a square (6215049 = 2493²).

The spelling of 96215040 in words is "ninety-six million, two hundred fifteen thousand, forty".