95990400 has 384 divisors, whose sum is σ = 387028800. Its totient is φ = 23040000.

The previous prime is 95990387. The next prime is 95990407. The reversal of 95990400 is 409959.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (95990407) 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, 950350 + ... + 950450.

Almost surely, 2^95990400 is an apocalyptic number.

95990400 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 95990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193514400).

95990400 is an abundant number, since it is smaller than the sum of its proper divisors (291038400).

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

95990400 is a wasteful number, since it uses less digits than its factorization.

95990400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 95990400 is about 9797.4690609361. The cubic root of 95990400 is about 457.8704336560.

The spelling of 95990400 in words is "ninety-five million, nine hundred ninety thousand, four hundred".