61235790 has 128 divisors (see below), whose sum is σ = 187315200. Its totient is φ = 12700800.

The previous prime is 61235773. The next prime is 61235807. The reversal of 61235790 is 9753216.

61235790 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (61235773) and next prime (61235807).

It is a super-3 number, since 3×61235790³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 112920 + ... + 113460.

It is an arithmetic number, because the mean of its divisors is an integer number (1463400).

Almost surely, 2^61235790 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61235790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93657600).

61235790 is an abundant number, since it is smaller than the sum of its proper divisors (126079410).

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

61235790 is a wasteful number, since it uses less digits than its factorization.

61235790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 33.

The square root of 61235790 is about 7825.3300249894. The cubic root of 61235790 is about 394.1562720216.

The spelling of 61235790 in words is "sixty-one million, two hundred thirty-five thousand, seven hundred ninety".