90953400 has 192 divisors, whose sum is σ = 307882080. Its totient is φ = 22118400.

The previous prime is 90953393. The next prime is 90953407. The reversal of 90953400 is 435909.

It is an interprime number because it is at equal distance from previous prime (90953393) and next prime (90953407).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90953407) 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, 377280 + ... + 377520.

Almost surely, 2^90953400 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 90953400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153941040).

90953400 is an abundant number, since it is smaller than the sum of its proper divisors (216928680).

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

90953400 is a wasteful number, since it uses less digits than its factorization.

90953400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 30.

The square root of 90953400 is about 9536.9491977257. The cubic root of 90953400 is about 449.7173533700.

The spelling of 90953400 in words is "ninety million, nine hundred fifty-three thousand, four hundred".