90379200 has 168 divisors, whose sum is σ = 312440320. Its totient is φ = 22809600.

The previous prime is 90379193. The next prime is 90379241. The reversal of 90379200 is 297309.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 90705 + ... + 91695.

Almost surely, 2^90379200 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 90379200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156220160).

90379200 is an abundant number, since it is smaller than the sum of its proper divisors (222061120).

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

90379200 is a wasteful number, since it uses less digits than its factorization.

90379200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1035 (or 1020 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 30.

The square root of 90379200 is about 9506.7975680562. The cubic root of 90379200 is about 448.7689811779.

The spelling of 90379200 in words is "ninety million, three hundred seventy-nine thousand, two hundred".