94252896 has 288 divisors, whose sum is σ = 317011968. Its totient is φ = 27371520.

The previous prime is 94252889. The next prime is 94252903. The reversal of 94252896 is 69825249.

94252896 = T₄₅ + T₄₆ + ... + T₈₂₆.

It is an interprime number because it is at equal distance from previous prime (94252889) and next prime (94252903).

It is a tau number, because it is divible by the number of its divisors (288).

Its product of digits (311040) is a multiple of the sum of its prime factors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3040401 + ... + 3040431.

It is an arithmetic number, because the mean of its divisors is an integer number (1100736).

Almost surely, 2^94252896 is an apocalyptic number.

94252896 is a gapful number since it is divisible by the number (96) 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 94252896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158505984).

94252896 is an abundant number, since it is smaller than the sum of its proper divisors (222759072).

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

94252896 is a wasteful number, since it uses less digits than its factorization.

94252896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 76 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 94252896 is about 9708.3930699164. The cubic root of 94252896 is about 455.0909869161.

It can be divided in two parts, 9425 and 2896, that added together give a palindrome (12321).

The spelling of 94252896 in words is "ninety-four million, two hundred fifty-two thousand, eight hundred ninety-six".