896269920 has 576 divisors, whose sum is σ = 3743179776. Its totient is φ = 175472640.

The previous prime is 896269897. The next prime is 896269943. The reversal of 896269920 is 29962698.

It is an interprime number because it is at equal distance from previous prime (896269897) and next prime (896269943).

It is a super-3 number, since 3×896269920³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12623485 + ... + 12623555.

It is an arithmetic number, because the mean of its divisors is an integer number (6498576).

Almost surely, 2^896269920 is an apocalyptic number.

896269920 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 896269920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1871589888).

896269920 is an abundant number, since it is smaller than the sum of its proper divisors (2846909856).

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

896269920 is a wasteful number, since it uses less digits than its factorization.

896269920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 51.

The square root of 896269920 is about 29937.7674518325. The cubic root of 896269920 is about 964.1537033316.

The spelling of 896269920 in words is "eight hundred ninety-six million, two hundred sixty-nine thousand, nine hundred twenty".