90965160 has 512 divisors, whose sum is σ = 387072000. Its totient is φ = 18662400.

The previous prime is 90965159. The next prime is 90965201. The reversal of 90965160 is 6156909.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2934345 + ... + 2934375.

It is an arithmetic number, because the mean of its divisors is an integer number (756000).

Almost surely, 2^90965160 is an apocalyptic number.

90965160 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 90965160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193536000).

90965160 is an abundant number, since it is smaller than the sum of its proper divisors (296106840).

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

90965160 is a wasteful number, since it uses less digits than its factorization.

90965160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 84 counting only the distinct ones).

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

The square root of 90965160 is about 9537.5657271654. The cubic root of 90965160 is about 449.7367349000.

It can be divided in two parts, 90965 and 160, that added together give a cube (91125 = 45³).

The spelling of 90965160 in words is "ninety million, nine hundred sixty-five thousand, one hundred sixty".