95653440 has 112 divisors (see below), whose sum is σ = 337474560. Its totient is φ = 25505280.

The previous prime is 95653427. The next prime is 95653447. The reversal of 95653440 is 4435659.

It is a happy number.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 = 95653395 and 95653404.

It is not an unprimeable number, because it can be changed into a prime (95653447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3105 + ... + 14175.

Almost surely, 2^95653440 is an apocalyptic number.

95653440 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 95653440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168737280).

95653440 is an abundant number, since it is smaller than the sum of its proper divisors (241821120).

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

95653440 is a wasteful number, since it uses less digits than its factorization.

95653440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11097 (or 11081 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 95653440 is about 9780.2576653174. The cubic root of 95653440 is about 457.3340435427.

The spelling of 95653440 in words is "ninety-five million, six hundred fifty-three thousand, four hundred forty".