926576640 has 312 divisors, whose sum is σ = 3511383408. Its totient is φ = 224133120.

The previous prime is 926576617. The next prime is 926576669. The reversal of 926576640 is 46675629.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 2027292 + ... + 2027748.

It is an arithmetic number, because the mean of its divisors is an integer number (11254434).

Almost surely, 2^926576640 is an apocalyptic number.

926576640 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 926576640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1755691704).

926576640 is an abundant number, since it is smaller than the sum of its proper divisors (2584806768).

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

926576640 is a wasteful number, since it uses less digits than its factorization.

926576640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 926576640 is about 30439.7214179105. The cubic root of 926576640 is about 974.9008498781.

It can be divided in two parts, 9265 and 76640, that added together give a triangular number (85905 = T₄₁₄).

The spelling of 926576640 in words is "nine hundred twenty-six million, five hundred seventy-six thousand, six hundred forty".