96407040 has 80 divisors (see below), whose sum is σ = 308225808. Its totient is φ = 25706496.

The previous prime is 96407033. The next prime is 96407081. The reversal of 96407040 is 4070469.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 96406989 and 96407007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1404 + ... + 13956.

Almost surely, 2^96407040 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 96407040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154112904).

96407040 is an abundant number, since it is smaller than the sum of its proper divisors (211818768).

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

96407040 is a wasteful number, since it uses less digits than its factorization.

96407040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12579 (or 12563 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 96407040 is about 9818.7086727329. The cubic root of 96407040 is about 458.5319296564.

The spelling of 96407040 in words is "ninety-six million, four hundred seven thousand, forty".