815948000 has 288 divisors, whose sum is σ = 2446936128. Its totient is φ = 266112000.

The previous prime is 815947991. The next prime is 815948053. The reversal of 815948000 is 849518.

It is a super-2 number, since 2×815948000² = 1331542277408000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4507910 + ... + 4508090.

It is an arithmetic number, because the mean of its divisors is an integer number (8496306).

Almost surely, 2^815948000 is an apocalyptic number.

815948000 is a gapful number since it is divisible by the number (80) 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 815948000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1223468064).

815948000 is an abundant number, since it is smaller than the sum of its proper divisors (1630988128).

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

815948000 is a wasteful number, since it uses less digits than its factorization.

815948000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 35.

The square root of 815948000 is about 28564.8035176159. The cubic root of 815948000 is about 934.4458954868.

The spelling of 815948000 in words is "eight hundred fifteen million, nine hundred forty-eight thousand".