95437440 has 320 divisors, whose sum is σ = 390994560. Its totient is φ = 21731328.

The previous prime is 95437429. The next prime is 95437453. The reversal of 95437440 is 4473459.

95437440 is a `hidden beast` number, since 9 + 543 + 74 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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 = 95437395 and 95437404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 362749 + ... + 363011.

It is an arithmetic number, because the mean of its divisors is an integer number (1221858).

Almost surely, 2^95437440 is an apocalyptic number.

95437440 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 95437440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195497280).

95437440 is an abundant number, since it is smaller than the sum of its proper divisors (295557120).

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

95437440 is a wasteful number, since it uses less digits than its factorization.

95437440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 95437440 is about 9769.2087704174. The cubic root of 95437440 is about 456.9895408485.

The spelling of 95437440 in words is "ninety-five million, four hundred thirty-seven thousand, four hundred forty".