89741400 has 192 divisors, whose sum is σ = 332121600. Its totient is φ = 19599360.

The previous prime is 89741381. The next prime is 89741401. The reversal of 89741400 is 414798.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89741401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 96136 + ... + 97064.

It is an arithmetic number, because the mean of its divisors is an integer number (1729800).

Almost surely, 2^89741400 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 89741400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166060800).

89741400 is an abundant number, since it is smaller than the sum of its proper divisors (242380200).

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

89741400 is a wasteful number, since it uses less digits than its factorization.

89741400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 978 (or 969 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 89741400 is about 9473.1937592345. The cubic root of 89741400 is about 447.7108439139.

The spelling of 89741400 in words is "eighty-nine million, seven hundred forty-one thousand, four hundred".