61146690 has 64 divisors (see below), whose sum is σ = 161464320. Its totient is φ = 14696640.

The previous prime is 61146689. The next prime is 61146707. The reversal of 61146690 is 9664116.

It is a super-2 number, since 2×61146690² = 7477835395912200, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41181 + ... + 42639.

It is an arithmetic number, because the mean of its divisors is an integer number (2522880).

Almost surely, 2^61146690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61146690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80732160).

61146690 is an abundant number, since it is smaller than the sum of its proper divisors (100317630).

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

61146690 is a wasteful number, since it uses less digits than its factorization.

61146690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1607.

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 61146690 is about 7819.6349019631. The cubic root of 61146690 is about 393.9650093038.

The spelling of 61146690 in words is "sixty-one million, one hundred forty-six thousand, six hundred ninety".