264122040 has 384 divisors, whose sum is σ = 1044610560. Its totient is φ = 52005888.

The previous prime is 264122017. The next prime is 264122051. The reversal of 264122040 is 40221462.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 264121998 and 264122016.

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, 3942087 + ... + 3942153.

It is an arithmetic number, because the mean of its divisors is an integer number (2720340).

Almost surely, 2^264122040 is an apocalyptic number.

264122040 is a gapful number since it is divisible by the number (20) 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 264122040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522305280).

264122040 is an abundant number, since it is smaller than the sum of its proper divisors (780488520).

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

264122040 is a wasteful number, since it uses less digits than its factorization.

264122040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 264122040 is about 16251.8318967432. The cubic root of 264122040 is about 641.6057011473.

The spelling of 264122040 in words is "two hundred sixty-four million, one hundred twenty-two thousand, forty".