215365248 has 192 divisors, whose sum is σ = 750409920. Its totient is φ = 57876480.

The previous prime is 215365219. The next prime is 215365259. The reversal of 215365248 is 842563512.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×215365248² = 92764380092203008, which contains 22 as substring.

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

Its product of digits (57600) is a multiple of the sum of its prime divisors (1600).

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, 136303 + ... + 137873.

It is an arithmetic number, because the mean of its divisors is an integer number (3908385).

Almost surely, 2^215365248 is an apocalyptic number.

215365248 is a gapful number since it is divisible by the number (28) 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 215365248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375204960).

215365248 is an abundant number, since it is smaller than the sum of its proper divisors (535044672).

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

215365248 is a wasteful number, since it uses less digits than its factorization.

215365248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1615 (or 1600 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 215365248 is about 14675.3278668655. The cubic root of 215365248 is about 599.4116900075.

The spelling of 215365248 in words is "two hundred fifteen million, three hundred sixty-five thousand, two hundred forty-eight".