90711600 has 120 divisors (see below), whose sum is σ = 332121600. Its totient is φ = 20732160.

The previous prime is 90711571. The next prime is 90711629. The reversal of 90711600 is 611709.

It is an interprime number because it is at equal distance from previous prime (90711571) and next prime (90711629).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3001 + ... + 13799.

It is an arithmetic number, because the mean of its divisors is an integer number (2767680).

Almost surely, 2^90711600 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 90711600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166060800).

90711600 is an abundant number, since it is smaller than the sum of its proper divisors (241410000).

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

90711600 is a wasteful number, since it uses less digits than its factorization.

90711600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10827 (or 10816 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 24.

The square root of 90711600 is about 9524.2637510728. The cubic root of 90711600 is about 449.3184745229.

The spelling of 90711600 in words is "ninety million, seven hundred eleven thousand, six hundred".