9266400 has 360 divisors, whose sum is σ = 39700584. Its totient is φ = 2073600.

The previous prime is 9266393. The next prime is 9266407. The reversal of 9266400 is 46629.

It is an interprime number because it is at equal distance from previous prime (9266393) and next prime (9266407).

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9266407) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 712794 + ... + 712806.

Almost surely, 2^9266400 is an apocalyptic number.

9266400 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 9266400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19850292).

9266400 is an abundant number, since it is smaller than the sum of its proper divisors (30434184).

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

9266400 is a wasteful number, since it uses less digits than its factorization.

9266400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 9266400 is about 3044.0762145518. The cubic root of 9266400 is about 210.0408083959.

The spelling of 9266400 in words is "nine million, two hundred sixty-six thousand, four hundred".