735620920 has 48 divisors (see below), whose sum is σ = 1687223160. Its totient is φ = 288652416.

The previous prime is 735620881. The next prime is 735620947. The reversal of 735620920 is 29026537.

It is a happy number.

It is a super-2 number, since 2×735620920² = 1082276275883292800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 109087 + ... + 115633.

Almost surely, 2^735620920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 735620920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (843611580).

735620920 is an abundant number, since it is smaller than the sum of its proper divisors (951602240).

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

735620920 is a wasteful number, since it uses less digits than its factorization.

735620920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6664 (or 6607 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 34.

The square root of 735620920 is about 27122.3324955653. The cubic root of 735620920 is about 902.7164511795.

The spelling of 735620920 in words is "seven hundred thirty-five million, six hundred twenty thousand, nine hundred twenty".